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Question 70
The radii of two circles are 15 cm and 8 cm.If the area of a third circle is equal to the sum of the areas of the two circles, then what will be the radius of the third circle?
Solution
Given, Radii of two circles = 15 cm and 8 cm
Sum of areas of two circles = $$\pi (15^2 + 8^2) = \pi (225+64) = \pi (289) = \pi (17^2)$$ which is in the form of $$\pi r^2$$
Hence, Radius of third square = 17 cm
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