Question

A field is in circular shape whose circumference is 220 m . Outside of the field a road around it is constructed. If circumference of the road is 308m,find the width oh the road ​

Answer 1

Answer:

Width of road = 14m

Step-by-step explanation:

Now the field and the road are in the form of 2 concentric circles.

Thus, let 'R' be the radius of the bigger circle and 'r' for the smaller circle.

We know the circumference(C) of a circle = 2πr

C of outer circle = 308m

thus, 2πR = 308,

R = 154/π

C of inner circle = 220m

thus, 2πr = 220m

r = 110/π

Width of road = R - r

Width of road = 154 - 110/π => 44/π

Width of road = $44 * \frac{7}{22}$

Width of road = 14m