The circumference of a circle exceeds its diameter by 60 cm. The area of the circle is: Take($\pi=\frac{22}{7}$)
Answer & explanation
Correct answer: option 2
We know that the circumference of the circle = 2πr
and the area of the circle = πr2
Now, according to the question,
2πr – 2r = 60
= 2r(\(\frac{22}{7}\) – 1) = 60
= r × \(\frac{15}{7}\) = 30
= r = 14 cm
Area of the circle = \(\frac{22}{7}\) × 14 × 14 = 616 cm2