Question

If the circumference of a circle is 22 cm, find the area of the semicircle.

• A. 38.5 sq.cm
• B. 19.25 sq.cm
• C. 44 sq.cm
• D. 77 sq.cm

Answer 1

Answer:

B. 19.25 sq.cm

Given circumference of the circle = 22 cm

∴ 2πr = 22

$2\times{\frac{22}{7}}\times{r}=22$

$2\times{r} = 7$

$r=\frac{7}{2}$

Area of Semicircle, $=\frac{πr^2}{2}$

$=\frac{1}{2}\times{\frac{22}{7}}\times{\frac{7}{2}}\times{\frac{7}{2}}$

$=19.25 sq.cm$