Circular flowerbed

Circular flowerbed with diameter 8 m we split by concentric circle to circle and annulus with the same area. Determine the radius of the circle.

Result

r =  2.83 m

Solution:

D=8 m S1/2=S2 π(D/2)2/2=πr2 D2/8=r2 r=D/8=8/8 r=2.83  m D = 8\ m \ \\ S_1/2 = S_2 \ \\ \pi (D/2)^2 / 2 = \pi r^2 \ \\ D^2/8 = r^2 \ \\ r = D / \sqrt8 = 8 / \sqrt8 \ \\ r = 2.83 \ \text{ m }



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