Question

# - A circle has an area of approximately

201.06 cm². If the radius is doubled, what is the

approximate area of the new circle? Show your

work below.

Answer 1

The area of the new circle is 804.57 cm^2

Explanation:

In this question, we are interested in calculating the area of the new circle of the radius of the old circle was doubled.

Let’s calculate the former radius first;

Mathematically;

Area of a circle = π * r^2

Thus;

201.06 = π * r^2

r^2 = 201.06/π

r^2 = 63.999

r = √63.99

r = 8 approximately

Now let’s double this radius and it becomes 2 * 8 = 16 cm

The new area will be ;

22/7 * 16 * 16 = 804.57 cm^2