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.
Answers
refer to attachment
The radius of the full figure
Radius = 21 m + 105 m
==> 126 m
Area of the full figure
Area of a circle = π r²
= 22/7 × ( 126 m)²
= 22/7 × 126 m × 126 m
= 22 × 18 m × 126 m
= 396 m × 126 m
= 49896 m²
Area of the circle around which the road runs
Area of circle = π r²
= 22/7 × 105 m × 105 m
= 22 × 15 m × 105 m
= 330 m × 105 m
= 34650 m²
Area of the road
Area of road = area of full figure - area of inner circle
= 49896 m² - 34650 m²
= 15246 m²
The area of the road is 15246 m²
Hope it helps you :-)
____________________________________________________________________