A circular park has a uniform 3 m wide road around its perimeter. If 2

1.	A circular park has a uniform 3 m wide road around its perimeter. If 20% of the area of the road is 290.4 m2 then find out the diameter of the circular park.1. 1542. 1533. 1514. 1505. 149
Answer» Correct Answer - Option 3 : 151 Given: 20% of the area of the road = 290.4 m² Width of the road = 3 m Formula used: Area of a circle = 22/7 × r² Where, r = radius of the circle. Calculations: Let us assume the radius of the park = r Area of the park = 22/7 × r² Area of the park with the road = 22/7 × (r + 3)² ATQ, 22/7 × (r + 3)² - 22/7 × r²= 290.4 × 5 ⇒ (2r + 3) × 3 = 462 ⇒ r = 75.5 Diameter of the park = 151 m

A circular park has a uniform 3 m wide road around its perimeter. If 20% of the area of the road is 290.4 m2 then find out the diameter of the circular park.1. 1542. 1533. 1514. 1505. 149

Answer» Correct Answer - Option 3 : 151

Given:

20% of the area of the road = 290.4 m²

Width of the road = 3 m

Formula used:

Area of a circle = 22/7 × r²

Where, r = radius of the circle.

Calculations:

Let us assume the radius of the park = r

Area of the park = 22/7 × r²

Area of the park with the road = 22/7 × (r + 3)²

ATQ,

22/7 × (r + 3)² - 22/7 × r²= 290.4 × 5

⇒ (2r + 3) × 3 = 462

⇒ r = 75.5

Diameter of the park = 151 m

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A circular park has a uniform 3 m wide road around its perimeter. If 20% of the area of the road is 290.4 m2 then find out the diameter of the circular park.1. 1542. 1533. 1514. 1505. 149

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