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Mensuration 2 Area of Circle | Mensuration 2 Exercise 21.2

Question 8

A road which is 7 m wide surrounds a circular park whose circumference is 352 m. Find the area of road.

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Given circumference of park = 352 m

But we know that circumference of circle = 2 π r = 352 m

2 × (22/7) × r = 352

r = (352 × 7)/ 44

r = 56 m

Radius of the path including the 7m wide road = (r + 7) = 56 + 7 = 63m

Therefore area of the road = π × (63)^2 - π × (56)^2

A = 22/7 × 63 × 63 – (22/7) × 56 × 56

A = 22 (9 × 63 – 8 × 56)

A = 22 (567 – 448)

A = 2618 m^2

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Question 8

A road which is 7 m wide surrounds a circular park whose circumference is 352 m. Find the area of road.

Looking to do well in your science exam ? Learn from an expert tutor. Book a free class!

Given circumference of park = 352 m

But we know that circumference of circle = 2 π r = 352 m

2 × (22/7) × r = 352

r = (352 × 7)/ 44

r = 56 m

Radius of the path including the 7m wide road = (r + 7) = 56 + 7 = 63m

Therefore area of the road = π × (63)^2 - π × (56)^2

A = 22/7 × 63 × 63 – (22/7) × 56 × 56

A = 22 (9 × 63 – 8 × 56)

A = 22 (567 – 448)

A = 2618 m^2

Our top 5% students will be awarded a special scholarship to Lido.

subject-cta
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