The inner and outer radii of a circular track are 28 m and 25 m, respectively. The cost (in ₹) of levelling the track at ₹28 per m² is:

[Use pi = 22/7]

Question

The inner and outer radii of a circular track are 28 m and 25 m, respectively. The cost (in ₹) of levelling the track at ₹28 per m² is:

[Use pi = 22/7]

Accepted Answer

Step 1: Identify the radii of the circular track.
- Outer radius (R) = 28 m
- Inner radius (r) = 25 m

Step 2: Calculate the area of the track (ring-shaped area) using the formula for the area of an annulus:
Area = π(R² - r²)

Step 3: Substitute the values and π = 22/7:
Area = (22/7) × (28² - 25²)
= (22/7) × (784 - 625)
= (22/7) × 159

Step 4: Calculate the area:
= 22 × 159 / 7
= (22 × 159) / 7
= 3498 / 7
= 499.7143 m² (approx)

Step 5: Calculate the cost of levelling at ₹28 per m²:
Cost = Area × Rate
= 499.7143 × 28
= 13991.999 ≈ ₹13,992

Therefore, the cost of levelling the track is ₹13,992.

Answer

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