Two small circular parks of diameters 6 m and 8 m are to be replaced by a bigger circular park. What would be the radius of this new park, in meter, if the new park occupies the same space as the two small parks (in meter)?
Answer with explanationAnswer: Option A
Area of the new circular park = sum of the areas of the 2 smaller parks
⇒ π (6/2)2 + π (8/2)2 = π(9+ 16) = 25π ⇒ 25 π = π R2. ∴ R2 = 25 ⇒ R = 5 m