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The base and height of a triangle are 40 cm and 20 cm, respectively. The area of the square is equal to the area of the triangle. If a circle of radius 10 cm is cut out from that square. Then, find the area left in the square is what percentage of the area of the circle? (Rounded off to the nearest hundred)

The base and height of a triangle are 40 cm and 20 cm, respectively. The area of the square is equal to the area of the triangle. If a circle of radius 10 cm is cut out from that square. Then, find the area left in the square is what percentage of the area of the circle? (Rounded off to the nearest hundred) Correct Answer 27.27%

Given:

Base of triangle = 40 cm

Height of triangle = 20 cm

Area of square = Area of triangle

Radius of circle = 10 cm

Formula Used:

Area of triangle = 1/ 2 × Base × Height

Area of square = (side × side)

Area of circle = πr2

Calculation:

Area of the triangle = ½ × 40 × 20 = 400 sq. cm

∴ Area of Square = side × side = 400

⇒ side = √400

⇒ side = 20 cm

The area of the circle = πr2

⇒ 22/7 × 10 × 10

⇒ 2200/7 sq. cm

The area left in the square = 400 – 2200/7

⇒ 600/7 sq. cm

∴ Required % = (600/7)/(2200/7) × 100

⇒ 27.27%

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