Question : The circumference of a circle exceeds its diameter by 60 cm. The area of the circle is: (Take $\pi=\frac{22}{7}$ )
Option 1: 1078 cm2
Option 2: 616 cm2
Option 3: 536 cm2
Option 4: 346.5 cm2
Correct Answer: 616 cm 2
Solution :
The circumference of a circle = $2\pi r$, where $r$ is the radius of the circle.
Diameter = $2r$
According to the question
$2\pi r - 2r = 60$
⇒ $2r(\frac{22}{7} – 1) = 60$
⇒ $r \times \frac{15}{7} = 30$
⇒ $r = 14$
Now, the area of the circle = $\pi r^2$
= $\frac{22}{7} \times 14 \times 14$
= 616 cm
2
Hence, the correct answer is 616 cm
2
.
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