Question

two small circular parks of diameter 16 m and 12 m are to be replaced by bigger circular Park what would be the radius of the new Park if the new Park occupied the same space as the two small parks

Answer 1

Area of park 1=pie *r^2=pie 8*8=64pie
Area of park 2=pie *6*6=36pie
Total area to form a new park =64pie+36pie=100pie
So
Pie*r^2=100pie
r^2=100
r=10
So radius of new park would be 10m

Answer 2

Area of circle is. π r square

so , for first , 3.14 x 16 x 16
803.84 m

fr 2nd, 3.14 x 12 x 12
452.16m

803.84+ 452.16 = 1256 m square

area of new bigger circle is 1256 m sq

3.14 x r square = 1256
r square = 708.16 m sq
and r = 26.61 m