Correct Answer - Option 1 : 616 cm
2
Given:
The sum of the circumference and radius of circle is 102 cm
Formula used:
The circumference of a circle is 2πr
The area of a circle is πr2
Where r is Radius of the circle
Calculations:
According to question, we have
The sum of the circumference and radius of circle is 102 cm
Circumference + Radius = 102 cm
⇒ (2πr + r) = 102 cm
⇒ r(2π + 1) = 102 cm
⇒ r{2 × (22/7) + 1} = 102 cm
⇒ r{(44/7) + 1} = 102 cm
⇒ r(51/7) = 102 cm
⇒ r = (102 × 7)/51 cm
⇒ r = 14 cm
Now, Area of circle is
⇒ Area = πr2
⇒ Area = (22/7) × 14 × 14
⇒ Area = 616 cm2
∴ The area of the circle is 616 cm2
