Multiple Choice Questions (MCQs)17. Two small circular parks of diamet

1.	Multiple Choice Questions (MCQs)17. Two small circular parks of diameters 16 m and12 m are to be replaced by a bigger circular park.What would be the radius of the new park if thenew park occupies the same space as the two
Answer» The area occupied by both parks together would be(πx8²) + (πx6²) = 100π So the new park should be of area 100π.π x (New Radius)² = 100π So, (New Radius)² = 100 [As we cancel π on both sides]Therefore, New Radius = 10m

Multiple Choice Questions (MCQs)17. Two small circular parks of diameters 16 m and12 m are to be replaced by a bigger circular park.What would be the radius of the new park if thenew park occupies the same space as the two

Answer»

The area occupied by both parks together would be(πx8²) + (πx6²) = 100π

So the new park should be of area 100π.π x (New Radius)² = 100π So, (New Radius)² = 100 [As we cancel π on both sides]Therefore, New Radius = 10m