Question

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two circles touch Each Other externally the sum of the areas is 149 Pi cm and the distance between the centres is 17 cm find the radius of the circle​

Answer 1

Explanation:

check answerd carefully.

hope this help you...

Answer 2

Let the radius of the two circles are a and b cm

The circles touch each other externally.

So, the distance between their centers =a+b

a+b=14 ................... (1)

Sum of their areas =πa² +πb²

πa² +πb² =130π

a² +b² =130 .................... (2)

From equation (1),

b=14−a ............. (3)

From (2) and (3),

a² +(14−a) ² =130

a² +a² +196−28a=130

2a² +66−28a=0a² +33−14a=0a² −11a−3a+33=0

(a−11)(a−3)=0

a=3,11

If a=3, then b=14−3=11

If a=11, then b=14−11=3

So, the radius of the two circles are 3 and 11 cm

And their diameters are 6 and 22 cm.