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A circular pond of radius 4m has a path of width 2.5m round ...

A circular pond of radius 4m has a path of width 2.5m round it. Find, correct to two decimal places, the area of the path. [Take227]

A.

7.83m2

B.

32.29m2

C.

50.29m2

D.

82.50m2

Correct answer is D

Area of path = Area of (pond+path) - Area of pond

The area of the pond with the path: The radius = (4 + 2.5)m = 6.5m

Area = π×r2 = 227×6.52

Area of the pond = \frac{22}{7} \times 4^{2} \approxeq 50.29m^{2}

 Area of the path  = (132.79 - 50.29)m^{2} = 82.50m^{2}\)