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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.

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 (1)

15246 m2

Solution

Area of circle =\pi r^{2}

        

Given that AB = 105m, BC = 21m

Where AB is radius of park and BC is wide of road

 AC=AB+BC

AC=105+21=126 m

Area of big circle=\pi r^{2}

                    \\=\pi (126)^{2}\\ =49896 m^{2}

Area of small circle =\pi r^{2}

                        \\=\pi (105)^{2}\\ =34650 m^{2}

Area of road =Area of big circle - Area of small circle

                 =49896-34650=15246 m2

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