The circumference of a circular park is 314m. A 20 M. wide concrete track runs round it. Calculate the cost of laying turf in the park at 1.25 per sq.m. and the cost of concrete track at 1.25 per sq.m .
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Answers
Answer:HI good morning dear dearThis is your answer
The cost of laying turf in the park is Rs.9812.5 and the cost of concreting path is Rs.376800
Step-by-step explanation:
Circumference of circular park =2 \pi r = 2 \times \frac{22}{7} \times r2πr=2×
7
22
×r
We are given that the circumference of a circular Park is 314 m
So,2 \times 3.14 \times r =3142×3.14×r=314
r=\frac{314 }{2 \times 3.14}r=
2×3.14
314
r=50
Area of park =\pi r^2 = 3.14 \times 50^2 = 7850 sq.m.πr
2
=3.14×50
2
=7850sq.m.
Cost of laying turf in park in 1 sq.m. = Rs.1.25
Cost of laying turf in 7850 sq.m. =1.25 \times 7850 =Rs.9812.51.25×7850=Rs.9812.5
A 20 metre wide concrete track is made around it
Outer radius = 50 m +20 m = 70 m
Area of track = Outer area - Inner area = \pi R^2 - \pi r^2 = 3.14(70^2-50^2)=7536 sq.m.πR
2
−πr
2
=3.14(70
2
−50
2
)=7536sq.m.
Cost of concreting 1 sq.m. path = Rs.50
Cost of concreting 7536 sq.m. path = Rs.50 \times 7536=Rs.376800Rs.50×7536=Rs.376800
Hence the cost of laying turf in the park is Rs.9812.5 and the cost of concreting path is Rs.376800
Answer:
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