Q. 3

# The outer circumference of a circular race-track is 525m. The track is everywhere 14m wide. Calculate the cost of leveling the track at the rate of 50paise per square meter

Answer :

Given,

Circumference of outer circle = 525m

Let radius of outer circle = R_{2}m

Let radius of inner circle = R_{1}m

So,

R_{2}-R_{1} = 14 (equation 1)

= 2πR_{2} = 525

Put value of R_{1} in equation first

= 83.52 – R_{1} = 14

= - R_{1} = 14 – 83.52

= R_{1} = 69.52m

Area of path =

Cost of leveling the path = 6733.76×.50 = Rs 3388

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PREVIOUSA play ground has the shape of a rectangle, with two semi-circles on its smaller sides as diameters, added to its outside. If the sides of the rectangle are 36m and 24.5m, find the area of the play ground..NEXTA rectangular piece is 20m long and 15m wide. From its four corners, quadrants of radii 3.5m have been cut. Find the area of the remaining part.

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