Question

The radii of two circles are 9 cm and 12 cm. Find the radius of a circle whose area is equal to the sum of the areas of the two circles

Answer 1

Answer : 15 cm

Solution :
_________

Given that : The radius of two Circle = 9 cm and 12 cm.

As we know that : Area of the circle = πr²

Now, according to the question :

$( \pi \times 9 \times 9) + ( \pi\times 12 \times 12) = \pi {r}^{2} \\ \\ = > \pi(81 + 144) = \pi {r}^{2} \\ \\ = > {r}^{2} = 225 \\ \\ = > r = 15 \: cm$

So, the radius of new circle will be 15 cm.

Answer 2

Answer:

Step-by-step explanation: