Question

The circumference of semicircle is 72 cm find it's area?

Answer 1

Answer:

Area of circle is 615.75 cm²

Step-by-step explanation:

Circumference of Semi- circle = 72 cm

Also,  Circumference of Semi- circle = $\pi r +2r$

Comparing both we have,

$72=r(\pi+2)$

Divide both side by $\pi+2$

We get,

$\frac{72}{\left(\pi+2\right)}=r$

Simplify, we have,

r = 14 cm (approx)

Area of circle = $\pi r^2$

Substitute, r = 14 cm

Area of circle = $\pi (14)^2=615.75$

Thus, Area of circle is 615.75 cm²