Question

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Answer 1

Answer:

9cm & 6 cm

Step-by-step explanation:

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Answer 2

AnsWer :

Radius of Circle 1 = 6 cm and Radius of Circle 2 = 9 cm.

Solution :

We have,

• Sum of area of circle is 117π.

Area of Two Circle = πr²1 + πr²2 = 117π.

A/Q,

$\tt \longmapsto \pi {r}^{2} + \pi {r}^{2} = 117 \pi$

$\tt\longmapsto {r_1}^{2} + {r_2}^{2} = 117. \: \: \: \: \: - (1)$

And,

• Distance between both circle of centre be 15 cm.

$\tt\longmapsto r_1 + r_2 = 15.$

$\tt \longmapsto r_1 = 15 - r_2. \: \: \: \: \: - (2)$

Putting the equation (2) in equation (1) we get,

• R2= 6 or, 9.

Again, R2 value substitute in equation (1) we get,

• R1 = 9 cm.
• R2 = 6 cm.

Check out attachment for whole solution,