The area of circle is equal to the sum of the areas of two circles of radii 24 cm and 7 cm. The diameter of the new circle is

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KollegeApply · Accepted Answer

50 cm Let r cm be the radius of the new circle. Now, Area of the new circle = Area of the circle with radius 24 cm + Area of the circle with radius 7 cm Thus, we have: $\pi$r^2 = pi"r"_1^2 + pi"r"_2^2 `=> pi"r"^2=[pixx(24)^2+pixx(7)^2]"cm"^2 =>pi"r"^2 = [pixx576+pixx49]"cm"^2 =>pi"r"^2 = pixx(576+49) "cm"^2 => "r"^2 = 625 pi "cm"^2 =>"r"^2 = 625 => "r" = 25` $\therefore$ Diameter of the new circle = (25 $\times$ 2) cm = 50 cm

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