Question

the radii of two circles are 12cm and 5cm respectively. find the radius of the circle having area equal to the areas of the two circles

Answer 1

π r^2 + π r2^2 = π R^2
π(5 ×5 +12×12)square cm = π R^2
R^2 = (25+144) square cm
R^2 = 169 square cm
R = 13 cm

Answer 2

Answer ✅✅✅

Radius of 1st Circle = 8cm

Area of 1st Circle = πr²1

Radius of 2nd Circle= 6cm

Area of 2nd Circle = πr²2

Area of both circle= πr²1 + πr²2

= π(r²1+r²2)

= 22/7 (8²+6²)

=22/7 (64+36)

=22/7×100 = 2200/7 cm²

Area of bigger Circle =2200/7cm²

πr² = 2200/7

22/7 ×r² = 2200/7

r² = 2200/7

_________

22/7

r² = 2200/7 × 7/22

r²= 100

r = √100

r = 10cm.

Hence, the radius of bigger circle = 10cm.

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