Sasi Math (Revised for 1024)

Scroll:Measurement >> Area & Perimeter of Composite Figure >> ps (1373)

Written Instructions:

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..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

28cm

___cm²

Answer:_______________

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

34cm

___cm²

Answer:_______________

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

30cm

___cm²

Answer:_______________

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

16cm

___cm²

Answer:_______________

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

20cm

___cm²

Answer:_______________

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

32cm

___cm²

Answer:_______________

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

22cm

___cm²

Answer:_______________

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

40cm

___cm²

Answer:_______________

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

10cm

___cm²

Answer:_______________

10)

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

26cm

___cm²

Answer:_______________

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

28cm

Answer: 364cm²

SOLUTION 1 :

Step 1: Diameter = 28cm

Radius = 28 ÷ 2

= 14cm

Step 2: Area of square = 28 x 28

= 784cm²

Step 3: Area of circle = π x r x r

= π x 14 x 14

= 615.832cm²

Step 3: Area of triangle = $\frac{1}{2}$ x b x h

= $\frac{1}{2}$ x 14 x 14

= 98.0cm²

Step 4: Area of 2 triangles = 98.0 x 2

= 196cm²

Step 5: Area of shaded part = (square - circle) + triangle

= (784 - 615.832) + 196

= 364.168cm²

≈ 364cm²

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

34cm

Answer: 537cm²

SOLUTION 1 :

Step 1: Diameter = 34cm

Radius = 34 ÷ 2

= 17cm

Step 2: Area of square = 34 x 34

= 1156cm²

Step 3: Area of circle = π x r x r

= π x 17 x 17

= 908.038cm²

Step 3: Area of triangle = $\frac{1}{2}$ x b x h

= $\frac{1}{2}$ x 17 x 17

= 144.5cm²

Step 4: Area of 2 triangles = 144.5 x 2

= 289cm²

Step 5: Area of shaded part = (square - circle) + triangle

= (1156 - 908.038) + 289

= 536.962cm²

≈ 537cm²

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

30cm

Answer: 418cm²

SOLUTION 1 :

Step 1: Diameter = 30cm

Radius = 30 ÷ 2

= 15cm

Step 2: Area of square = 30 x 30

= 900cm²

Step 3: Area of circle = π x r x r

= π x 15 x 15

= 706.950cm²

Step 3: Area of triangle = $\frac{1}{2}$ x b x h

= $\frac{1}{2}$ x 15 x 15

= 112.5cm²

Step 4: Area of 2 triangles = 112.5 x 2

= 225cm²

Step 5: Area of shaded part = (square - circle) + triangle

= (900 - 706.950) + 225

= 418.050cm²

≈ 418cm²

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

16cm

Answer: 119cm²

SOLUTION 1 :

Step 1: Diameter = 16cm

Radius = 16 ÷ 2

= 8cm

Step 2: Area of square = 16 x 16

= 256cm²

Step 3: Area of circle = π x r x r

= π x 8 x 8

= 201.088cm²

Step 3: Area of triangle = $\frac{1}{2}$ x b x h

= $\frac{1}{2}$ x 8 x 8

= 32.0cm²

Step 4: Area of 2 triangles = 32.0 x 2

= 64cm²

Step 5: Area of shaded part = (square - circle) + triangle

= (256 - 201.088) + 64

= 118.912cm²

≈ 119cm²

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

20cm

Answer: 186cm²

SOLUTION 1 :

Step 1: Diameter = 20cm

Radius = 20 ÷ 2

= 10cm

Step 2: Area of square = 20 x 20

= 400cm²

Step 3: Area of circle = π x r x r

= π x 10 x 10

= 314.200cm²

Step 3: Area of triangle = $\frac{1}{2}$ x b x h

= $\frac{1}{2}$ x 10 x 10

= 50.0cm²

Step 4: Area of 2 triangles = 50.0 x 2

= 100cm²

Step 5: Area of shaded part = (square - circle) + triangle

= (400 - 314.200) + 100

= 185.800cm²

≈ 186cm²

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

32cm

Answer: 476cm²

SOLUTION 1 :

Step 1: Diameter = 32cm

Radius = 32 ÷ 2

= 16cm

Step 2: Area of square = 32 x 32

= 1024cm²

Step 3: Area of circle = π x r x r

= π x 16 x 16

= 804.352cm²

Step 3: Area of triangle = $\frac{1}{2}$ x b x h

= $\frac{1}{2}$ x 16 x 16

= 128.0cm²

Step 4: Area of 2 triangles = 128.0 x 2

= 256cm²

Step 5: Area of shaded part = (square - circle) + triangle

= (1024 - 804.352) + 256

= 475.648cm²

≈ 476cm²

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

22cm

Answer: 225cm²

SOLUTION 1 :

Step 1: Diameter = 22cm

Radius = 22 ÷ 2

= 11cm

Step 2: Area of square = 22 x 22

= 484cm²

Step 3: Area of circle = π x r x r

= π x 11 x 11

= 380.182cm²

Step 3: Area of triangle = $\frac{1}{2}$ x b x h

= $\frac{1}{2}$ x 11 x 11

= 60.5cm²

Step 4: Area of 2 triangles = 60.5 x 2

= 121cm²

Step 5: Area of shaded part = (square - circle) + triangle

= (484 - 380.182) + 121

= 224.818cm²

≈ 225cm²

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

40cm

Answer: 743cm²

SOLUTION 1 :

Step 1: Diameter = 40cm

Radius = 40 ÷ 2

= 20cm

Step 2: Area of square = 40 x 40

= 1600cm²

Step 3: Area of circle = π x r x r

= π x 20 x 20

= 1256.800cm²

Step 3: Area of triangle = $\frac{1}{2}$ x b x h

= $\frac{1}{2}$ x 20 x 20

= 200.0cm²

Step 4: Area of 2 triangles = 200.0 x 2

= 400cm²

Step 5: Area of shaded part = (square - circle) + triangle

= (1600 - 1256.800) + 400

= 743.200cm²

≈ 743cm²

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

10cm

Answer: 46cm²

SOLUTION 1 :

Step 1: Diameter = 10cm

Radius = 10 ÷ 2

= 5cm

Step 2: Area of square = 10 x 10

= 100cm²

Step 3: Area of circle = π x r x r

= π x 5 x 5

= 78.550cm²

Step 3: Area of triangle = $\frac{1}{2}$ x b x h

= $\frac{1}{2}$ x 5 x 5

= 12.5cm²

Step 4: Area of 2 triangles = 12.5 x 2

= 25cm²

Step 5: Area of shaded part = (square - circle) + triangle

= (100 - 78.550) + 25

= 46.450cm²

≈ 46cm²

10)

Find the shaded area, rounding off your answer to the nearest whole number.

Π = 3.142

26cm

Answer: 314cm²

SOLUTION 1 :

Step 1: Diameter = 26cm

Radius = 26 ÷ 2

= 13cm

Step 2: Area of square = 26 x 26

= 676cm²

Step 3: Area of circle = π x r x r

= π x 13 x 13

= 530.998cm²

Step 3: Area of triangle = $\frac{1}{2}$ x b x h

= $\frac{1}{2}$ x 13 x 13

= 84.5cm²

Step 4: Area of 2 triangles = 84.5 x 2

= 169cm²

Step 5: Area of shaded part = (square - circle) + triangle

= (676 - 530.998) + 169

= 314.002cm²

≈ 314cm²