Question

the inner circumference of a circulars track is 242 m The track is uniformaly 7 m wide find the area of the tracks​

Answer 1

first find radius

2πr = 242 m

2 × 22/7 × radius = 242 m

radius = 242×7/2×22

radius = 77/2

radius = 38.5 m

outer radius = 38.5 + 7 = 45.5 m

area of inner = 22/7×38.5×38.5

= 4658.5 m²

area of outer = 22/7×45.5×45.5

= 6506 .5 m²

difference between both areas

= outer area - inner area

= 6506.5 m² - 4658.5 m²

= 1848 m²