Question

there are two circular Garden A and B the circumference of Garden a is 1.760 kilometres and the area of Garden B is 25 times the area of Garden I find circumference of Garden be

Answer 1

Circumference of garden A = 1.760 Km = 1760 m ( as 1 km = 1000 m )
Circumference = 2πr
so radius of garden a
1760 m = 2 * 22/7 * r
1760 m / 22 / 2 * 7 = r
280 m = r
25(area of garden A) = area of garden B
area of garden A = πr^2
area of garden A = 22/7 * 280 m * 280m
area of garden A = 246400 m^2
25(area of garden A) = area of garden B
246400 m^2 = area of garden B
area = π*r*r
area of garden B =25(π*r*r)
25*π*r*r
25*22/7 * r * r = 246400
r * r = 246400 * 7 / 22 / 25
r = √3136
r = 56 m
circumference of garden B = 2 π r
circumference of garden B = 2 * 22 / 7 * 56
circumference of garden B = 352 m = 0.352 km