Question

3

Answer 1

The approximate length of rail that needs to be replaced is 7.1 ft

Length of arc

Since the pool is circular, the approximate length that needs to be replaced is an arc of length, L = Ф/360° × πD where

• Ф = central angle of rail section = 27° and
• D = diameter of circular pool = 30 ft

Approximate length of rail

So, substituting the values of the variables into the equation, we have

L = Ф/360° × πD

L = 27°/360° × π × 30 ft

L = 3/40 × π × 30 ft

L = 3/4 × π × 3 ft

L = 9/4 × π  ft

L = 2.25 × π  ft

L = 7.07 ft

L ≅ 7.1 ft

So, the approximate length of rail that needs to be replaced is 7.1 ft

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