contestada

3
Type the correct answer in the box. Use numerals instead of words,
A circular pool has a diameter of 30 feet. A section of the top railing with a central angle of 27° is broken and needs to be replaced. What approximate length of raili
needs to be replaced? Round your answer to one decimal place,
About
feet of railing needs to be replaced.
Reset
Next

Respuesta :

oladayoademosu

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

Learn more about length of an arc here:

https://brainly.com/question/8402454