Scroll:Measurement >> Area & Circumference of Circle >> ps (1791)

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For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

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1)  

The figure is made up of a big circle and 2 small circles with radii of 16 cm and 8 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = CD, therefore AB = 16 cm.

cm

cm2



Answer:_______________




2)  

The figure is made up of a big circle and 2 small circles with diameter of 28 cm and 12 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = 28 cm, CD = 12 cm

cm

cm2



Answer:_______________




3)  

The figure is made up of a big circle and 2 small circles with radii of 8 cm and 4 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = CD, therefore AB = 8 cm.

cm

cm2



Answer:_______________




4)  

The figure is made up of a big circle and 2 small circles with diameter of 22 cm and 10 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = 22 cm, CD = 10 cm

cm

cm2



Answer:_______________




5)  

The figure is made up of a big circle and 2 small circles with radii of 54 cm and 27 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = CD, therefore AB = 54 cm.

cm

cm2



Answer:_______________




6)  

The figure is made up of a big circle and 2 small circles with diameter of 30 cm and 6 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = 30 cm, CD = 6 cm

cm

cm2



Answer:_______________




7)  

The figure is made up of a big circle and 2 small circles with radii of 26 cm and 13 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = CD, therefore AB = 26 cm.

cm

cm2



Answer:_______________




8)  

The figure is made up of a big circle and 2 small circles with diameter of 22 cm and 14 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = 22 cm, CD = 14 cm

cm

cm2



Answer:_______________




9)  

The figure is made up of a big circle and 2 small circles with radii of 36 cm and 18 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = CD, therefore AB = 36 cm.

cm

cm2



Answer:_______________




10)  

The figure is made up of a big circle and 2 small circles with diameter of 30 cm and 10 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = 30 cm, CD = 10 cm

cm

cm2



Answer:_______________




 

1)  

The figure is made up of a big circle and 2 small circles with radii of 16 cm and 8 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = CD, therefore AB = 16 cm.

Answer: 201 cm

Answer: 402 cm2



SOLUTION 1 :

Step 1: Circumference of big circle → π x 32 cm

                                                        = 100.544 cm

Step 2: Circumference of 2 small circles → 2 x π x 16 cm

                                                                 = 100.544 cm

Step 3: Perimeter of shaded part → 100.544 cm + 100.544 cm

                                                     = 201.088 cm

                                                     ≈ 201 cm

Step 4: Area of big circle → π x 16 cm  x 16 cm

                                         = 804.352 cm2

Step 5: Area of 2 small circles →2 x π x 8 cm x 8 cm

                                                 = 402.176 cm2

Step 6: Area of shaded part → 804.352 cm2 - 402.176 cm2

                                             = 402.176 cm2 

                                             ≈ 402 cm2



2)  

The figure is made up of a big circle and 2 small circles with diameter of 28 cm and 12 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = 28 cm, CD = 12 cm

Answer: 251 cm

Answer: 528 cm2



SOLUTION 1 :

Step 1: Circumference of big circle → π x 40 cm

                                                         = 125.68 cm

Step 2: Circumference of medium circle → π x 28 cm

                                                                 = 87.976 cm

Step 3: Circumference of small circle → π x 12 cm

                                                            = 37.704 cm

Step 4: Perimeter of shaded part → 125.68 cm + 87.976 cm + 37.704 cm

                                                      = 251.360 cm

                                                      ≈ 251 cm

Step 5: Area of big circle → π x 20 cm  x 20 cm

                                          = 1256.8 cm2

Step 6: Area of medium circle → π x 14 cm x 14 cm

                                                 = 615.832 cm2

Step 7: Area of small circle → π x 6 cm x 6 cm

                                            = 113.112 cm2

Step 8: Area of shaded part → 1256.8 cm2 - 615.832 cm2  - 113.112 cm2

                                             = 527.856 cm2 

                                             ≈ 528 cm2



3)  

The figure is made up of a big circle and 2 small circles with radii of 8 cm and 4 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = CD, therefore AB = 8 cm.

Answer: 101 cm

Answer: 101 cm2



SOLUTION 1 :

Step 1: Circumference of big circle → π x 16 cm

                                                        = 50.272 cm

Step 2: Circumference of 2 small circles → 2 x π x 8 cm

                                                                 = 50.272 cm

Step 3: Perimeter of shaded part → 50.272 cm + 50.272 cm

                                                     = 100.544 cm

                                                     ≈ 101 cm

Step 4: Area of big circle → π x 8 cm  x 8 cm

                                         = 201.088 cm2

Step 5: Area of 2 small circles →2 x π x 4 cm x 4 cm

                                                 = 100.544 cm2

Step 6: Area of shaded part → 201.088 cm2 - 100.544 cm2

                                             = 100.544 cm2 

                                             ≈ 101 cm2



4)  

The figure is made up of a big circle and 2 small circles with diameter of 22 cm and 10 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = 22 cm, CD = 10 cm

Answer: 201 cm

Answer: 346 cm2



SOLUTION 1 :

Step 1: Circumference of big circle → π x 32 cm

                                                         = 100.544 cm

Step 2: Circumference of medium circle → π x 22 cm

                                                                 = 69.124 cm

Step 3: Circumference of small circle → π x 10 cm

                                                            = 31.42 cm

Step 4: Perimeter of shaded part → 100.544 cm + 69.124 cm + 31.42 cm

                                                      = 201.088 cm

                                                      ≈ 201 cm

Step 5: Area of big circle → π x 16 cm  x 16 cm

                                          = 804.352 cm2

Step 6: Area of medium circle → π x 11 cm x 11 cm

                                                 = 380.182 cm2

Step 7: Area of small circle → π x 5 cm x 5 cm

                                            = 78.55 cm2

Step 8: Area of shaded part → 804.352 cm2 - 380.182 cm2  - 78.55 cm2

                                             = 345.620 cm2 

                                             ≈ 346 cm2



5)  

The figure is made up of a big circle and 2 small circles with radii of 54 cm and 27 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = CD, therefore AB = 54 cm.

Answer: 679 cm

Answer: 4581 cm2



SOLUTION 1 :

Step 1: Circumference of big circle → π x 108 cm

                                                        = 339.336 cm

Step 2: Circumference of 2 small circles → 2 x π x 54 cm

                                                                 = 339.336 cm

Step 3: Perimeter of shaded part → 339.336 cm + 339.336 cm

                                                     = 678.672 cm

                                                     ≈ 679 cm

Step 4: Area of big circle → π x 54 cm  x 54 cm

                                         = 9162.072 cm2

Step 5: Area of 2 small circles →2 x π x 27 cm x 27 cm

                                                 = 4581.036 cm2

Step 6: Area of shaded part → 9162.072 cm2 - 4581.036 cm2

                                             = 4581.036 cm2 

                                             ≈ 4581 cm2



6)  

The figure is made up of a big circle and 2 small circles with diameter of 30 cm and 6 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = 30 cm, CD = 6 cm

Answer: 226 cm

Answer: 283 cm2



SOLUTION 1 :

Step 1: Circumference of big circle → π x 36 cm

                                                         = 113.112 cm

Step 2: Circumference of medium circle → π x 30 cm

                                                                 = 94.26 cm

Step 3: Circumference of small circle → π x 6 cm

                                                            = 18.852 cm

Step 4: Perimeter of shaded part → 113.112 cm + 94.26 cm + 18.852 cm

                                                      = 226.224 cm

                                                      ≈ 226 cm

Step 5: Area of big circle → π x 18 cm  x 18 cm

                                          = 1018.008 cm2

Step 6: Area of medium circle → π x 15 cm x 15 cm

                                                 = 706.95 cm2

Step 7: Area of small circle → π x 3 cm x 3 cm

                                            = 28.278 cm2

Step 8: Area of shaded part → 1018.008 cm2 - 706.95 cm2  - 28.278 cm2

                                             = 282.780 cm2 

                                             ≈ 283 cm2



7)  

The figure is made up of a big circle and 2 small circles with radii of 26 cm and 13 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = CD, therefore AB = 26 cm.

Answer: 327 cm

Answer: 1062 cm2



SOLUTION 1 :

Step 1: Circumference of big circle → π x 52 cm

                                                        = 163.384 cm

Step 2: Circumference of 2 small circles → 2 x π x 26 cm

                                                                 = 163.384 cm

Step 3: Perimeter of shaded part → 163.384 cm + 163.384 cm

                                                     = 326.768 cm

                                                     ≈ 327 cm

Step 4: Area of big circle → π x 26 cm  x 26 cm

                                         = 2123.992 cm2

Step 5: Area of 2 small circles →2 x π x 13 cm x 13 cm

                                                 = 1061.996 cm2

Step 6: Area of shaded part → 2123.992 cm2 - 1061.996 cm2

                                             = 1061.996 cm2 

                                             ≈ 1062 cm2



8)  

The figure is made up of a big circle and 2 small circles with diameter of 22 cm and 14 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = 22 cm, CD = 14 cm

Answer: 226 cm

Answer: 484 cm2



SOLUTION 1 :

Step 1: Circumference of big circle → π x 36 cm

                                                         = 113.112 cm

Step 2: Circumference of medium circle → π x 22 cm

                                                                 = 69.124 cm

Step 3: Circumference of small circle → π x 14 cm

                                                            = 43.988 cm

Step 4: Perimeter of shaded part → 113.112 cm + 69.124 cm + 43.988 cm

                                                      = 226.224 cm

                                                      ≈ 226 cm

Step 5: Area of big circle → π x 18 cm  x 18 cm

                                          = 1018.008 cm2

Step 6: Area of medium circle → π x 11 cm x 11 cm

                                                 = 380.182 cm2

Step 7: Area of small circle → π x 7 cm x 7 cm

                                            = 153.958 cm2

Step 8: Area of shaded part → 1018.008 cm2 - 380.182 cm2  - 153.958 cm2

                                             = 483.868 cm2 

                                             ≈ 484 cm2



9)  

The figure is made up of a big circle and 2 small circles with radii of 36 cm and 18 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = CD, therefore AB = 36 cm.

Answer: 452 cm

Answer: 2036 cm2



SOLUTION 1 :

Step 1: Circumference of big circle → π x 72 cm

                                                        = 226.224 cm

Step 2: Circumference of 2 small circles → 2 x π x 36 cm

                                                                 = 226.224 cm

Step 3: Perimeter of shaded part → 226.224 cm + 226.224 cm

                                                     = 452.448 cm

                                                     ≈ 452 cm

Step 4: Area of big circle → π x 36 cm  x 36 cm

                                         = 4072.032 cm2

Step 5: Area of 2 small circles →2 x π x 18 cm x 18 cm

                                                 = 2036.016 cm2

Step 6: Area of shaded part → 4072.032 cm2 - 2036.016 cm2

                                             = 2036.016 cm2 

                                             ≈ 2036 cm2



10)  

The figure is made up of a big circle and 2 small circles with diameter of 30 cm and 10 cm respectively. 

Find the perimeter and area of the shaded part, rounding off your answers to the nearest whole number. 

π = 3.142

AB = 30 cm, CD = 10 cm

Answer: 251 cm

Answer: 471 cm2



SOLUTION 1 :

Step 1: Circumference of big circle → π x 40 cm

                                                         = 125.68 cm

Step 2: Circumference of medium circle → π x 30 cm

                                                                 = 94.26 cm

Step 3: Circumference of small circle → π x 10 cm

                                                            = 31.42 cm

Step 4: Perimeter of shaded part → 125.68 cm + 94.26 cm + 31.42 cm

                                                      = 251.360 cm

                                                      ≈ 251 cm

Step 5: Area of big circle → π x 20 cm  x 20 cm

                                          = 1256.8 cm2

Step 6: Area of medium circle → π x 15 cm x 15 cm

                                                 = 706.95 cm2

Step 7: Area of small circle → π x 5 cm x 5 cm

                                            = 78.55 cm2

Step 8: Area of shaded part → 1256.8 cm2 - 706.95 cm2  - 78.55 cm2

                                             = 471.300 cm2 

                                             ≈ 471 cm2