A road, 14m wide, surrounds a circular park whose circumference is 704m. Find the surface area of the road. Also, find the cost of paving the road at Rs. 100 per meter square.

# A road, 14m wide, surrounds a circular park whose circumference is 704m. Find the surface area of the road. Also, find the cost of paving the road at Rs. 100 per meter square.

1. A
and ₹3942400
2. B
and ₹4989600
3. C
and ₹1047200
4. D
None of these

Fill Out the Form for Expert Academic Guidance!l

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)

### Solution:

Inner circle has the circumference of 704m and the circumference C of the circle with radius r is given by: C=2πr
$704=2×\frac{22}{7}×r$

Area of inner circle,
Outer radius, R = r + 14 = 126 m
Area of outer circle,
surface area of the road =
Cost of paving the road at Rs. 100 per square meter is ₹10472×100 = ₹1047200.
Hence, the area of the road is 10472 ${m}^{2}$ and the cost of paving it was Rs. 1047200.
So, Option 3 is correct.

## Related content

 Matrices and Determinants_mathematics Critical Points Solved Examples Type of relations_mathematics

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)