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)? A. 5 B. 10 C. 15 D. 20 Answer Workspace Report Discuss Answer with explanation Answer: Option A Explanation 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 Workspace
Discuss about the question