Question

the inner circumference of a circular track is 242m. the track is uniformaly 7m wide. find the area of the track.​

Answer 1

Ans

Inner Circumference = 242 m

=> 2 pi r = 242

=> 2 × 22 × r / 7 = 242

=> r = 242 × 7 / 44

=> r = 11 × 7 / 2

=> r = 77/2

=> r = 38.5 m

Inner Radius = 38.5 m

Outer Radius = Inner Radius + Width of track

Outer Radius = 38.5 + 7 = 45.5 m

Area of track = Outer Area - Inner Area

= pi R^2 - pi r^2

= pi ( R^2 - r^2)

= pi ( R +r) (R - r)

= pi × 84 × 7

= 22 × 84 × 7 / 7

= 22 × 84

= 1848 m^2

Answer 2

Right answer is 1848m square