Question

2. The radii of two circles are 8 cm and 6 cm respectively,
Find the radius of the circle having area equal to the sum of
the areas of the two circles.
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Answer 1

Step-by-step explanation:

2×pie×r^2 = area

area of circle 1 = 2×3.14×8×8

= 3918.72 cm^2

area of circle 2 = 2×3.14×6×6

= 226.08 cm^2

sum of areas = 3918.72+226.08

= 4144.80 cm^2

radius of the new circle = 4144.8/3.14×2×r^2

r^2 = 4144.8/6.28

r^2 = 660

r = 25.69cm (appr.x since 660 is not a perfect square)