Question

The diameter of a circular park is 75m. A 3.5 m wide road runs on the inside around it. Find the cost of constructing the road at ₹200 per square metre.

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Answer 1

Area of Road = Area of Circle1 – Area of Circle2

= πR² - πr²

(R = 75/2 = 37.5m,

r = 37.5 – 3.5 = 34m)

= 22/7 (37.5 × 37.5 – 34 × 34)

= 22/7 × 250.25

= 5505.5/ 7

Area of Road = 786.5 m²

Cost of Construction @200 per m²

= 786.5 × 200

= Rs. 157300

Answer 2

Area of Road = Area of Circle 1 – Area of Circle2

= πR² - πr²

(R = 75/2 = 37.5m,

r = 37.5 – 3.5 = 34m)

= 22/7 (37.5 × 37.5 – 34 × 34)

= 22/7 × 250.25

= 5505.5/ 7

Area of Road = 786.5 m²

Cost of Construction @200 per m²

= 786.5 × 200

= Rs. 157300

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