It is proposed to build a single circular park equal in area to the sum of areas of two circular parks of diameters 16 m and 12 m in a locality. The radius of the new park would be
(A) 10 m (B) 15 m (C) 20 m (D) 24 m
Answer (A) 10 m
Solution
Diameter of first circle (D) = 16 m
Radius(R) =
Area =
Diameter of second circle (d) = 12 m
Radius(r) =
Area =
Let radius of new park = R1
Area =
According to question
R = – 10 is not possible because Radius must be positive.
Hence Radius is 10m