Question

If the perimeter of a semi circular park is 252 m, Find its Area​

Answer 1

The area of the semi circular park is 307.72 square meter. 

Answer 2

Answer

Area of the semi circle is 3770m²

Explanation:

Given

• The park is in a shape of semi-circle
• Perimeter of the park is 252 m

To Find

• Area of the park.

Perimeter of a semi-circle = πr + 2r

( r = radius )

⟹ 252m = πr + 2r

⟹ 252m = r ( π + 2 )

⟹ 252m = r ( π + 2 )

⟹ 252m = r ( 3.14 + 2 )

⟹ 252m = r ( 5.14 )

⟹ 2452m/5.14 = r

⟹ 49m ≈ r

Area of semi-circle = πr² × 1/2

Area = π ( 49 )² × 1/2

Area = π (2401) × 1/2

Area = 3.14 ( 2401 ) × 1/2

Area = 7539.14 × 1/2

Area ≈ 3769.6

Area of the semi circle is 3770m² ( approx )