Question

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.

Answer 1

hey mate
refer to attachment

Answer 2

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 :-)

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