Question

The diameters of two circles are 32 cm and
24 cm. Find the radius of the circle having its
area equal to sum of the areas of the two
given circle.​

Answer 1

SOLUTION:-

Given:

•The diameter of two circles are 32cm & 24cm.

To find:

•The Radius of the circle.

•Area & sum of two given circle.

Explanation:

•Diameter of first circle is 32cm.

So, radius= d/2 = 32/2= 16cm

•Diameter of second circle is 24cm.

So, radius=d/2= 24/2= 12cm.

Now,

•Area of first circle:

πr²

=) π(16)²= 256π

•Area of second circle:

πr²

=) π(12)²= 144π

Therefore,

Sum of the two circles:

•Area of third circle:

=) 256π + 144π

πr²3

$= > \pi {r}^{2} 3 =\pi(256 + 144) \\ \\ = > r 3 = \sqrt{256 + 114} \\ \\ = > r3 = \sqrt{400} \\ \\ = > r 3 = > 20cm$

Thank you.

Answer 2

Answer:

YOUR ANSWER IS IN THE ATTACHMENT.