Question : Find the area of the circle whose circumference is 22 cm.
Option 1: 38.5 cm2
Option 2: 42 cm2
Option 3: 30 cm2
Option 4: 77 cm2
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Correct Answer: 38.5 cm 2
Solution :
Let the radius of the circle be $r$.
Circumference of a circle = 22 cm
⇒ $2\pi r = 22$
⇒ $2 \times \frac{22}{7} \times r = 22$
⇒ $2r = 7$
⇒ $r = \frac{7}{2}\ \text{cm}$
Area of the circle $=\pi r^2=\frac{22}{7}\times\frac{7}{2}\times \frac{7}{2}=38.5\ \text{cm}^2$
Hence, the correct answer is 38.5 cm
2
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