# A circular park is surrounded by a road 21 m wide. If the radius of the park is 105 m, find the area of the road

**Solution:**

Given, a circular park is surrounded by a road 21 m wide.

Radius of the park, r = 105 m

We have to find the area of the road.

Park is surrounded by a road of width 21 m.

Radius of outer circle = 105 + 21 = 126 m

Area of the road = area of outer circle - area of inner circle

__Area of circle__ = πr²

Area of circle with radius 105 m = (22/7)(105)²

= (22)(15)(105)

= 34650 m²

Area of circle with radius 126 m = (22/7)(126)²

= (22)(18)(126)

= 49896 m²

Area of road = 49896 - 34650

= 15246 m²

Therefore, the area of the road is 15246 m²

**✦ Try This: **A circular park is surrounded by a road 10 m wide. If the radius of the park is 25 m, find the area of the road.

**☛ Also Check: **NCERT Solutions for Class 10 Maths Chapter 12

**NCERT Exemplar Class 10 Maths Exercise 11.3 Problem 14**

## A circular park is surrounded by a road 21 m wide. If the radius of the park is 105 m, find the area of the road

**Summary:**

A circular park is surrounded by a road 21 m wide. If the radius of the park is 105 m, the area of the road is 15246 m²

**☛ Related Questions:**

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