If the sum of the areas of two circles with radii R1 and R2 is equal to the area of a circle of radius R, then ______.

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KollegeApply · Accepted Answer

If the sum of the areas of two circles with radii R1 and R2 is equal to the area of a circle of radius R, then `underlinebb("R"_1^2 + "R"_2^2 = "R"^2)`. Explanation: According to the question, Area of circle = Area of first circle + Area of second circle $\therefore$ $\pi$"R"^2 = $\pi$"R"_1^2 + $\pi$"R"_2^2 $\Rightarrow$ "R"^2 = "R"_1^2 + "R"_2^2

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