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If the circumference of a circle is 22 cm, find the area of the semicircle.
- A38.5 sq.cm
- B19.25 sq.cm
- C44 sq.cm
- D77 sq.cm
Answer not set
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CCommunity
Given circumference of the circle = 22 cm
∴ 2πr = 22
$(2\times \frac{{22}}{7} \times r = 22)$
2 × r = 7
$(r = \frac{7}{2}cm)$
Area of the semicircle$({{\pi {r^2}}}{2} = \frac{1}{2} \times \frac{{22}}{7} \times \frac{7}{2} \times \frac{7}{2} = 19.25\;sq.cm)$
∴ 2πr = 22
$(2\times \frac{{22}}{7} \times r = 22)$
2 × r = 7
$(r = \frac{7}{2}cm)$
Area of the semicircle$({{\pi {r^2}}}{2} = \frac{1}{2} \times \frac{{22}}{7} \times \frac{7}{2} \times \frac{7}{2} = 19.25\;sq.cm)$