Question

If a circle has its circumference as 70 in, its area will be sq in.
[Take π = 3.14 and approximate to the nearest whole number]

• A. 1225
• B. 408
• C. 390

Answer 1

The correct option is C 390

Circumference of the circle = 70 in
Let the radius of the circle be R in.

We know:
Circumference of a circle = 2 × π × R

On putting values, we get:
$2\times \pi \times R=70$

$\Rightarrow R=\frac{70}{2\times \pi }=\frac{35}{\pi }$

We know:
$\text{Area of a circle}=\pi \times R^2$

On putting values, we get:
$\text{Area of the circle}=\pi \times (\frac{35}{\pi }{)}^2=\frac{(35{)}^2}{\pi }$

≈ 390 sq in

So, the area of the given circle is 390 sq in.