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 60 cm and 30 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 = 60 cm.

cm

cm2



Answer:_______________




2)  

The figure is made up of a big circle and 2 small circles with diameter of 22 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 = 22 cm, CD = 8 cm

cm

cm2



Answer:_______________




3)  

The figure is made up of a big circle and 2 small circles with radii of 38 cm and 19 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 = 38 cm.

cm

cm2



Answer:_______________




4)  

The figure is made up of a big circle and 2 small circles with diameter of 24 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 = 24 cm, CD = 4 cm

cm

cm2



Answer:_______________




5)  

The figure is made up of a big circle and 2 small circles with radii of 14 cm and 7 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 = 14 cm.

cm

cm2



Answer:_______________




6)  

The figure is made up of a big circle and 2 small circles with diameter of 18 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 = 18 cm, CD = 10 cm

cm

cm2



Answer:_______________




7)  

The figure is made up of a big circle and 2 small circles with radii of 10 cm and 5 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 = 10 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 46 cm and 23 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 = 46 cm.

cm

cm2



Answer:_______________




10)  

The figure is made up of a big circle and 2 small circles with diameter of 18 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 = 18 cm, CD = 14 cm

cm

cm2



Answer:_______________




 

1)  

The figure is made up of a big circle and 2 small circles with radii of 60 cm and 30 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 = 60 cm.

Answer: 754 cm

Answer: 5656 cm2



SOLUTION 1 :

Step 1: Circumference of big circle → π x 120 cm

                                                        = 377.040 cm

Step 2: Circumference of 2 small circles → 2 x π x 60 cm

                                                                 = 377.040 cm

Step 3: Perimeter of shaded part → 377.040 cm + 377.040 cm

                                                     = 754.080 cm

                                                     ≈ 754 cm

Step 4: Area of big circle → π x 60 cm  x 60 cm

                                         = 11311.2 cm2

Step 5: Area of 2 small circles →2 x π x 30 cm x 30 cm

                                                 = 5655.6 cm2

Step 6: Area of shaded part → 11311.2 cm2 - 5655.6 cm2

                                             = 5655.600 cm2 

                                             ≈ 5656 cm2



2)  

The figure is made up of a big circle and 2 small circles with diameter of 22 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 = 22 cm, CD = 8 cm

Answer: 189 cm

Answer: 276 cm2



SOLUTION 1 :

Step 1: Circumference of big circle → π x 30 cm

                                                         = 94.26 cm

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

                                                                 = 69.124 cm

Step 3: Circumference of small circle → π x 8 cm

                                                            = 25.136 cm

Step 4: Perimeter of shaded part → 94.26 cm + 69.124 cm + 25.136 cm

                                                      = 188.520 cm

                                                      ≈ 189 cm

Step 5: Area of big circle → π x 15 cm  x 15 cm

                                          = 706.95 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 4 cm x 4 cm

                                            = 50.272 cm2

Step 8: Area of shaded part → 706.95 cm2 - 380.182 cm2  - 50.272 cm2

                                             = 276.496 cm2 

                                             ≈ 276 cm2



3)  

The figure is made up of a big circle and 2 small circles with radii of 38 cm and 19 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 = 38 cm.

Answer: 478 cm

Answer: 2269 cm2



SOLUTION 1 :

Step 1: Circumference of big circle → π x 76 cm

                                                        = 238.792 cm

Step 2: Circumference of 2 small circles → 2 x π x 38 cm

                                                                 = 238.792 cm

Step 3: Perimeter of shaded part → 238.792 cm + 238.792 cm

                                                     = 477.584 cm

                                                     ≈ 478 cm

Step 4: Area of big circle → π x 38 cm  x 38 cm

                                         = 4537.048 cm2

Step 5: Area of 2 small circles →2 x π x 19 cm x 19 cm

                                                 = 2268.524 cm2

Step 6: Area of shaded part → 4537.048 cm2 - 2268.524 cm2

                                             = 2268.524 cm2 

                                             ≈ 2269 cm2



4)  

The figure is made up of a big circle and 2 small circles with diameter of 24 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 = 24 cm, CD = 4 cm

Answer: 176 cm

Answer: 151 cm2



SOLUTION 1 :

Step 1: Circumference of big circle → π x 28 cm

                                                         = 87.976 cm

Step 2: Circumference of medium circle → π x 24 cm

                                                                 = 75.408 cm

Step 3: Circumference of small circle → π x 4 cm

                                                            = 12.568 cm

Step 4: Perimeter of shaded part → 87.976 cm + 75.408 cm + 12.568 cm

                                                      = 175.952 cm

                                                      ≈ 176 cm

Step 5: Area of big circle → π x 14 cm  x 14 cm

                                          = 615.832 cm2

Step 6: Area of medium circle → π x 12 cm x 12 cm

                                                 = 452.448 cm2

Step 7: Area of small circle → π x 2 cm x 2 cm

                                            = 12.568 cm2

Step 8: Area of shaded part → 615.832 cm2 - 452.448 cm2  - 12.568 cm2

                                             = 150.816 cm2 

                                             ≈ 151 cm2



5)  

The figure is made up of a big circle and 2 small circles with radii of 14 cm and 7 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 = 14 cm.

Answer: 176 cm

Answer: 308 cm2



SOLUTION 1 :

Step 1: Circumference of big circle → π x 28 cm

                                                        = 87.976 cm

Step 2: Circumference of 2 small circles → 2 x π x 14 cm

                                                                 = 87.976 cm

Step 3: Perimeter of shaded part → 87.976 cm + 87.976 cm

                                                     = 175.952 cm

                                                     ≈ 176 cm

Step 4: Area of big circle → π x 14 cm  x 14 cm

                                         = 615.832 cm2

Step 5: Area of 2 small circles →2 x π x 7 cm x 7 cm

                                                 = 307.916 cm2

Step 6: Area of shaded part → 615.832 cm2 - 307.916 cm2

                                             = 307.916 cm2 

                                             ≈ 308 cm2



6)  

The figure is made up of a big circle and 2 small circles with diameter of 18 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 = 18 cm, CD = 10 cm

Answer: 176 cm

Answer: 283 cm2



SOLUTION 1 :

Step 1: Circumference of big circle → π x 28 cm

                                                         = 87.976 cm

Step 2: Circumference of medium circle → π x 18 cm

                                                                 = 56.556 cm

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

                                                            = 31.42 cm

Step 4: Perimeter of shaded part → 87.976 cm + 56.556 cm + 31.42 cm

                                                      = 175.952 cm

                                                      ≈ 176 cm

Step 5: Area of big circle → π x 14 cm  x 14 cm

                                          = 615.832 cm2

Step 6: Area of medium circle → π x 9 cm x 9 cm

                                                 = 254.502 cm2

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

                                            = 78.55 cm2

Step 8: Area of shaded part → 615.832 cm2 - 254.502 cm2  - 78.55 cm2

                                             = 282.780 cm2 

                                             ≈ 283 cm2



7)  

The figure is made up of a big circle and 2 small circles with radii of 10 cm and 5 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 = 10 cm.

Answer: 126 cm

Answer: 157 cm2



SOLUTION 1 :

Step 1: Circumference of big circle → π x 20 cm

                                                        = 62.840 cm

Step 2: Circumference of 2 small circles → 2 x π x 10 cm

                                                                 = 62.840 cm

Step 3: Perimeter of shaded part → 62.840 cm + 62.840 cm

                                                     = 125.680 cm

                                                     ≈ 126 cm

Step 4: Area of big circle → π x 10 cm  x 10 cm

                                         = 314.2 cm2

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

                                                 = 157.1 cm2

Step 6: Area of shaded part → 314.2 cm2 - 157.1 cm2

                                             = 157.100 cm2 

                                             ≈ 157 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 46 cm and 23 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 = 46 cm.

Answer: 578 cm

Answer: 3324 cm2



SOLUTION 1 :

Step 1: Circumference of big circle → π x 92 cm

                                                        = 289.064 cm

Step 2: Circumference of 2 small circles → 2 x π x 46 cm

                                                                 = 289.064 cm

Step 3: Perimeter of shaded part → 289.064 cm + 289.064 cm

                                                     = 578.128 cm

                                                     ≈ 578 cm

Step 4: Area of big circle → π x 46 cm  x 46 cm

                                         = 6648.472 cm2

Step 5: Area of 2 small circles →2 x π x 23 cm x 23 cm

                                                 = 3324.236 cm2

Step 6: Area of shaded part → 6648.472 cm2 - 3324.236 cm2

                                             = 3324.236 cm2 

                                             ≈ 3324 cm2



10)  

The figure is made up of a big circle and 2 small circles with diameter of 18 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 = 18 cm, CD = 14 cm

Answer: 201 cm

Answer: 396 cm2



SOLUTION 1 :

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

                                                         = 100.544 cm

Step 2: Circumference of medium circle → π x 18 cm

                                                                 = 56.556 cm

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

                                                            = 43.988 cm

Step 4: Perimeter of shaded part → 100.544 cm + 56.556 cm + 43.988 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 9 cm x 9 cm

                                                 = 254.502 cm2

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

                                            = 153.958 cm2

Step 8: Area of shaded part → 804.352 cm2 - 254.502 cm2  - 153.958 cm2

                                             = 395.892 cm2 

                                             ≈ 396 cm2