Question : The circumference of a circle is 220 cm. What is the area of that circle?
Option 1: 3850 cm2
Option 2: 4550 cm2
Option 3: 2850 cm2
Option 4: 4650 cm2
Correct Answer: 3850 cm 2
Solution :
The circumference $C$ of a circle, where $r$ is the radius of the circle.
$C = 2 \pi r$
Given that the circumference $C$ is 220 cm.
So, $r = \frac{C}{2 \pi} = \frac{220}{2 \pi} =35$ cm
The area $A$ of a circle,
$A = \pi r^2$
Substituting r = 35 cm into the formula,
$A = \pi (35)^2 = 3850$ cm
2
Hence, the correct answer is 3850 cm
2
.
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