Question

The radius of a circle is 14cm. Find the radius of another circle whose area is one fourth of the area of first circle. please answer it step by step and answer it imideatly. ​

Answer 1

Answer:

If the radius of a circle is 14cm then the radius of another circle whose area is one-fourth of the area of the first circle is 7 cm.

Step-by-step explanation:

Given :

Radius of circle (r)= 14 cm

Find: The radius of another circle whose area is one-fourth of the area of the first circle.

Formula: Area of circle = $\pi r^2$

$=\frac{22}{7} \times 14 \times 14\\= 22\times 2 \times 14\\= 616 sq. cm$

Now the area of another circle whose area is one-fourth of the area of the first circle = 1/4 × 616 = 154 cm

Now find the radius of another circle whose area is one-fourth of the area of the first circle

$\pi r^2 =154\\\frac{22}{7} r^2 =154\\ r^2 =154 \times \frac{7}{22} \\ r^2 = 7 \times 7\\r = 7 cm$

So, the radius of another circle whose area is one-fourth of the area of the first circle  is 7 cm.