Question

6. If the perimeter of a semi-circular park is 72 m, find its area and radius.​

Answer 1

Answer:

$\huge \fcolorbox{blue}{red}{Answer}$

The radius of the semi circular park is 14 meter.

The area of the semi circular park is 307.72 square meter.

Step-by-step explanation:

Given :

If the perimeter of semi circular park is 72 m.

To find :

The area and radius of the semi circle ?

Solution :

The perimeter of the semi circular park is

$P = 2r +\pi \: r$

We have given, P=72

$P = r(2 + \pi) \\ 72 = r(2 + 3.14) \\ 72 = r(5.14) \\ r = \frac{72}{5.14} \\ r = 14$

The radius of the semi circular park is 14 meter.

The area of the semi circular park is

$A = \frac{\pi {r}^{2} }{2}$

$A = \frac{3.14 \times {14}^{2} }{2} \\A = \frac{3.14 \times 196}{2} \\ A = 3.14 \times 98 \\ A = 307.72 {m}^{2}$

Therefore,

The area of the semi circular park is 307.72 square meter.