Solve the following mathematical problems:
A circular garden is surrounded by a road. If the outer circumference of the road is greater than the inner circumference by 88 meters, what is the width of the road?
(Geometry-Circle)Let, Radius of the garden with road is = R meter
& Radius of the garden without road is = r meter
∴Outer circumstance of the garden 2πR meter
Inner circumstance of the garden 2πr meter
Here, width of the road (R-r) meter
According to question,
2πR - 2πr = 88
= (R - r) 2π= 88
R-r=
Width of the road is 14 meters.