Question

a
The diameter of a circular park is 74m.
A uniform path 3m wide runs around outside . Find the cost of levelling the path at ₹ 15.50 per sq. metre.​

Answer 1

Answer:

Step-by-step explanation:

Given -

The diameter of a circular park is 74 m. A uniform path 3 m wide runs around outside.

To find -

The cost of levelling the path at 15.50 per sq metre.

Solution -

Diameter of a circular park = 74 m

Radius of circle = 74/2 = 37 m

A uniform path 3 m wide runs around outside.

Inner radius (r) = 37 m

Outer radius (R) = 37 + 3 = 40m

Area of circular park

→ Area of outer radius - area of inner radius

→ πR² - πr²

→ π(R² - r²)

Apply identity

a² - b² = (a + b)(a - b)

→ π[(R + r)(R - r)]

Substitute the value of "r" and "R"

→ 22/7[(40 + 37)(40 - 37)]

→ 22/7 × 77 × 3

→ 22 × 11 × 3

→ 726 m²

Rate of levelling the circular path is Rs.15.50

→ Total cost of levelling

→ 726 × 15.50

→ Rs.11253

•°• Total cost of levelling the circular path is Rs.11253

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Answer 2

Answer:

THIS IS THE RIGHT ANSWER