Question

A 7m wide path is to be constructed all around and outside a circular park of diameter
56m.find the area of the path.

Answer 1

Answer: $1386 m^{2}$

Step-by-step explanation:

Radius of the park =r

Circumference of the park =2πr

176=2πr

$r= \frac{176}{2\pi }$  

$r = \frac{176}{2*\frac{21}{7} }$  

$r=\frac{176*7}{2*22}$

$r=28m$

$Area of road= \pi (28+7)^{2} - \pi (28)^{2}\\ = \pi (35^{2} - 28^{2} ) \\ = \frac{22}{7} (35-28) (35 + 28) \\ = \frac{22}{7} * 7 * 63 \\ = 1386 m^{2}$