Question

A road 2m wide is constructed all around outside a circular garden of radius 35m.
Find the area of the road. (take π =22/7

Answer 1

Step-by-step explanation:

Inner radius of road = 35m

Outside radius of road = 35 +2 =37m

Total area of road = Outer area - Inner area

$= \frac{22}{7} \times 37 \times 37 - \frac{22}{7} \times 35 \times 35 \\ \\= \: \: \frac{22}{7}[(37 \times 37) - (35 \times 35) ]\\ \\ = \: \: \frac{22}{7} (1369 - 1225) \\ \\ = \: \: \frac{22}{7} \times 144 \\ \\ = \: \: \frac{288}{7} \\ \\ = \: \: 41.14$

Area of road is $41.14 \: \: m {}^{2}$