**Question:**

The radius of a circular garden is 100 m. There is a road 10 m wide, running all around it. Find the area of the road and the cost of levelling

it at Rs 20 per m2. [Use π = 3.14]

**Solution:**

Area of the road = Area of outer circle − Area of inner circle

$=\pi R^{2}-\pi r^{2}$

$=\pi\left[(110)^{2}-(100)^{2}\right]$

$=3.14 \times 2100$

$=6594 \mathrm{~m}^{2}$

Cost of levelling the road = Area of the road ⨯ Rate

= 6594 ⨯ 20

= Rs 131880