Sasi Math (Revised for 1024)

Scroll:Measurement >> Area & Perimeter of Composite Figure >> ps (1743)

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.

The figure below is formed by two right-angled triangles, a circle and a circle. Given that WX = XY = XZ = 32cm, find the area of the shaded region rounding off your answer to the nearest whole number.

Π = 3.142

32cm 32cm

___cm²

Answer:_______________

The figure below is formed by two right-angled triangles, a circle and a circle. Given that WX = XY = XZ = 18cm, find the area of the shaded region rounding off your answer to the nearest whole number.

Π = 3.142

18cm 18cm

___cm²

Answer:_______________

The figure below is formed by two right-angled triangles, a circle and a circle. Given that WX = XY = XZ = 26cm, find the area of the shaded region rounding off your answer to the nearest whole number.

Π = 3.142

26cm 26cm

___cm²

Answer:_______________

The figure below is formed by two right-angled triangles, a circle and a circle. Given that WX = XY = XZ = 14cm, find the area of the shaded region rounding off your answer to the nearest whole number.

Π = 3.142

14cm 14cm

___cm²

Answer:_______________

The figure below is formed by two right-angled triangles, a circle and a circle. Given that WX = XY = XZ = 30cm, find the area of the shaded region rounding off your answer to the nearest whole number.

Π = 3.142

30cm 30cm

___cm²

Answer:_______________

The figure below is formed by two right-angled triangles, a circle and a circle. Given that WX = XY = XZ = 22cm, find the area of the shaded region rounding off your answer to the nearest whole number.

Π = 3.142

22cm 22cm

___cm²

Answer:_______________

The figure below is formed by two right-angled triangles, a circle and a circle. Given that WX = XY = XZ = 36cm, find the area of the shaded region rounding off your answer to the nearest whole number.

Π = 3.142

36cm 36cm

___cm²

Answer:_______________

The figure below is formed by two right-angled triangles, a circle and a circle. Given that WX = XY = XZ = 16cm, find the area of the shaded region rounding off your answer to the nearest whole number.

Π = 3.142

16cm 16cm

___cm²

Answer:_______________

The figure below is formed by two right-angled triangles, a circle and a circle. Given that WX = XY = XZ = 12cm, find the area of the shaded region rounding off your answer to the nearest whole number.

Π = 3.142

12cm 12cm

___cm²

Answer:_______________

10)

The figure below is formed by two right-angled triangles, a circle and a circle. Given that WX = XY = XZ = 24cm, find the area of the shaded region rounding off your answer to the nearest whole number.

Π = 3.142

24cm 24cm

___cm²

Answer:_______________

Π = 3.142

32cm 32cm

Answer: 658cm²

SOLUTION 1 :

32cm 32cm

Step 1: Diameter = 32cm

Radius = 32 ÷ 2

= 16cm

Step 2: $\frac{1}{2}$ rugby → quadrant - triangle

→ ( $\frac{1}{4}$ x π x r² ) - ( $\frac{1}{2}$ x b x h )

→ ( $\frac{1}{4}$ x π x 16 x 16 ) - ( $\frac{1}{2}$ x 16 x 16 )

= 73.088cm²

Step 3: shaded area → big circle - rugby

→ (π x r²) - (2 x 73.088)

→ (π x 16 x 16) - (2 x 73.088)

= 658.176cm²

≈ 658cm²

Π = 3.142

18cm 18cm

Answer: 208cm²

SOLUTION 1 :

18cm 18cm

Step 1: Diameter = 18cm

Radius = 18 ÷ 2

= 9cm

Step 2: $\frac{1}{2}$ rugby → quadrant - triangle

→ ( $\frac{1}{4}$ x π x r² ) - ( $\frac{1}{2}$ x b x h )

→ ( $\frac{1}{4}$ x π x 9 x 9 ) - ( $\frac{1}{2}$ x 9 x 9 )

= 23.126cm²

Step 3: shaded area → big circle - rugby

→ (π x r²) - (2 x 23.126)

→ (π x 9 x 9) - (2 x 23.126)

= 208.250cm²

≈ 208cm²

Π = 3.142

26cm 26cm

Answer: 434cm²

SOLUTION 1 :

26cm 26cm

Step 1: Diameter = 26cm

Radius = 26 ÷ 2

= 13cm

Step 2: $\frac{1}{2}$ rugby → quadrant - triangle

→ ( $\frac{1}{4}$ x π x r² ) - ( $\frac{1}{2}$ x b x h )

→ ( $\frac{1}{4}$ x π x 13 x 13 ) - ( $\frac{1}{2}$ x 13 x 13 )

= 48.250cm²

Step 3: shaded area → big circle - rugby

→ (π x r²) - (2 x 48.250)

→ (π x 13 x 13) - (2 x 48.250)

= 434.498cm²

≈ 434cm²

Π = 3.142

14cm 14cm

Answer: 126cm²

SOLUTION 1 :

14cm 14cm

Step 1: Diameter = 14cm

Radius = 14 ÷ 2

= 7cm

Step 2: $\frac{1}{2}$ rugby → quadrant - triangle

→ ( $\frac{1}{4}$ x π x r² ) - ( $\frac{1}{2}$ x b x h )

→ ( $\frac{1}{4}$ x π x 7 x 7 ) - ( $\frac{1}{2}$ x 7 x 7 )

= 13.990cm²

Step 3: shaded area → big circle - rugby

→ (π x r²) - (2 x 13.990)

→ (π x 7 x 7) - (2 x 13.990)

= 125.978cm²

≈ 126cm²

Π = 3.142

30cm 30cm

Answer: 578cm²

SOLUTION 1 :

30cm 30cm

Step 1: Diameter = 30cm

Radius = 30 ÷ 2

= 15cm

Step 2: $\frac{1}{2}$ rugby → quadrant - triangle

→ ( $\frac{1}{4}$ x π x r² ) - ( $\frac{1}{2}$ x b x h )

→ ( $\frac{1}{4}$ x π x 15 x 15 ) - ( $\frac{1}{2}$ x 15 x 15 )

= 64.238cm²

Step 3: shaded area → big circle - rugby

→ (π x r²) - (2 x 64.238)

→ (π x 15 x 15) - (2 x 64.238)

= 578.474cm²

≈ 578cm²

Π = 3.142

22cm 22cm

Answer: 311cm²

SOLUTION 1 :

22cm 22cm

Step 1: Diameter = 22cm

Radius = 22 ÷ 2

= 11cm

Step 2: $\frac{1}{2}$ rugby → quadrant - triangle

→ ( $\frac{1}{4}$ x π x r² ) - ( $\frac{1}{2}$ x b x h )

→ ( $\frac{1}{4}$ x π x 11 x 11 ) - ( $\frac{1}{2}$ x 11 x 11 )

= 34.546cm²

Step 3: shaded area → big circle - rugby

→ (π x r²) - (2 x 34.546)

→ (π x 11 x 11) - (2 x 34.546)

= 311.090cm²

≈ 311cm²

Π = 3.142

36cm 36cm

Answer: 833cm²

SOLUTION 1 :

36cm 36cm

Step 1: Diameter = 36cm

Radius = 36 ÷ 2

= 18cm

Step 2: $\frac{1}{2}$ rugby → quadrant - triangle

→ ( $\frac{1}{4}$ x π x r² ) - ( $\frac{1}{2}$ x b x h )

→ ( $\frac{1}{4}$ x π x 18 x 18 ) - ( $\frac{1}{2}$ x 18 x 18 )

= 92.502cm²

Step 3: shaded area → big circle - rugby

→ (π x r²) - (2 x 92.502)

→ (π x 18 x 18) - (2 x 92.502)

= 833.004cm²

≈ 833cm²

Π = 3.142

16cm 16cm

Answer: 165cm²

SOLUTION 1 :

16cm 16cm

Step 1: Diameter = 16cm

Radius = 16 ÷ 2

= 8cm

Step 2: $\frac{1}{2}$ rugby → quadrant - triangle

→ ( $\frac{1}{4}$ x π x r² ) - ( $\frac{1}{2}$ x b x h )

→ ( $\frac{1}{4}$ x π x 8 x 8 ) - ( $\frac{1}{2}$ x 8 x 8 )

= 18.272cm²

Step 3: shaded area → big circle - rugby

→ (π x r²) - (2 x 18.272)

→ (π x 8 x 8) - (2 x 18.272)

= 164.544cm²

≈ 165cm²

Π = 3.142

12cm 12cm

Answer: 93cm²

SOLUTION 1 :

12cm 12cm

Step 1: Diameter = 12cm

Radius = 12 ÷ 2

= 6cm

Step 2: $\frac{1}{2}$ rugby → quadrant - triangle

→ ( $\frac{1}{4}$ x π x r² ) - ( $\frac{1}{2}$ x b x h )

→ ( $\frac{1}{4}$ x π x 6 x 6 ) - ( $\frac{1}{2}$ x 6 x 6 )

= 10.278cm²

Step 3: shaded area → big circle - rugby

→ (π x r²) - (2 x 10.278)

→ (π x 6 x 6) - (2 x 10.278)

= 92.556cm²

≈ 93cm²

10)

Π = 3.142

24cm 24cm

Answer: 370cm²

SOLUTION 1 :

24cm 24cm

Step 1: Diameter = 24cm

Radius = 24 ÷ 2

= 12cm

Step 2: $\frac{1}{2}$ rugby → quadrant - triangle

→ ( $\frac{1}{4}$ x π x r² ) - ( $\frac{1}{2}$ x b x h )

→ ( $\frac{1}{4}$ x π x 12 x 12 ) - ( $\frac{1}{2}$ x 12 x 12 )

= 41.112cm²

Step 3: shaded area → big circle - rugby

→ (π x r²) - (2 x 41.112)

→ (π x 12 x 12) - (2 x 41.112)

= 370.224cm²

≈ 370cm²