Question

Two circles touch externally. The sum of their areas is 117 π cm square and the distance between their centres is 15 cm. Find the radii of the two circles.​

Answer 1

I think it is 1456734

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Answer 2

◇ Answer ◇

♧ Let radius of circle A be r1 and radius of circle B be r2

Given, r1+r2=15  -------(i)

and πr12+πr22=117π

⇒r12+r22=117  ------(ii)

(i)⇒r1+r2=15

⇒r1=15−r2

Now, putting this value in (ii), we get

⇒(15−r2)2+r22=117

⇒152−2×15×r2+r22+r22=117

⇒225−30r2+2r22

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