1.

A road which is 7m wide surrounds circular park whose circumference is 352m, Find the area of the road.

Answer»

Answer:

\large \text{$2618 \ m^2$}

Step-by-step EXPLANATION:

Given :

Width of road = 7 m

CIRCUMFERENCE = 352 m

We KNOW that

Circumference of circle = 2 π r

Let radius be r m

2 π r = 352 m

π r = 176

r = 7 × 8 m

r = 56 m

It is radius of circular park.

So radius of circular park along road = 56 + 7 = 63 m

Area of the road = Area of  circular park along road - Area of circular park .

We know area of circle = \pi r^{2}

\large \text{ Area of the road = $\pi \ 63^{2} - \pi \ 56^{2} \ m^2 $}\\\\\\\large \text{ Area of the road = $\dfrac{22}{7}\times63\times63-\dfrac{22}{7}\times56\times56 $}\\\\\\\large \text{ Area of the road = $22\times63\times9-22\times56\times8$}\\\\\\\large \text{ Area of the road = $12474-9856$}\\\\\\\large \text{ Area of the road = $2618 \ m^2$}


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