Question

the inner perimeter of the race track is 400m and outer perimeter of the race track is 488m. the length of each straight portion is 90m find the cost of developing the track is rs 12.50 per metre square

Answer 1

L = length of the straight portion = 90m
Radius of the outer perimeter = R 
Radius of the inner perimeter = r

outer perimeter = 2 L + 2 π R = 488 m
           So     R = 49 m
inner perimeter = 2 L + 2 π r = 400 m
              so   r = 35 m

Area of the track (between inner perimeter and outer perimeter)
 = 2 * L * (R-r) + π (R² - r²)
 = 6, 216 m²

Cost of development = 6, 216 * 12.50 = Rs 77,700.

Answer 2

Answer:

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