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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.
Given:
A circular park is surrounded by a road 21 m wide.
The radius of the park is 105 m
To do:
We have to find the area of the road.
Solution:
Let the radius of the circular pond be $r$ and the width of the path be $w$.
This implies,
Radius of the outer circle $R=r+w$
$R=105+21$
$R=126\ m$
Area of the road $=$ Area of the outer circle $-$ Area of the park
$=\pi (126)^2-\pi (105)^2$
$=\frac{22}{7}(15876-11025)$
$=\frac{22}{7}\times4851$
$=22\times693$
$=15246\ m^2$
The area of the road is $15246\ m^2$.
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