# What Will be the Area of that Semicircle?

If the perimeter of a semicircle is 72 cm, what will be the area of that semicircle?

- 300 sq. cm
- 308 sq. cm
- 106 sq. cm
- None of these

**Answer: (3) 308 sq.cm**

**Explanation:-**

The perimeter of a semicircle = 72 cm

**Formula-**

**Perimeter of the semicircle = pai x r + 2 r**

**Where, r = radius of circle.**

Then, pai x r + 2 r = 72

r (pai + 2) = 72

r (22/7 + 2) = 72

r (22 + 14 )/7 = 72

r = 72 x 7/36

r = 2 x 7

r = 14 cm

**Formula-**

**Area of the semicircle = pai x r ^{2}/2**

**Where, r = radius of the circle**

Then, The area of the semicircle = pai x (14)

^{2}/2

= 22 x 14 x 14 /7 x 2

= 22 x 28/2

= 616/2

= 308 sq.cm.

Hence,the answer is (2) 308 sq.cm.