Question

A water pipe bends in a circular arc changing direction by 23.7 degrees. The curved portion is 47.2 ft long. What is the radius of the circle?

Answer 1

`r = 114` feet

Explanation:

The change in direction of the arc is exactly the same as the sector angle.

If you know that angle, then you know what fraction of the circle the sector represents, and the arc length is the same fraction of the whole circumference,

Fraction =`23.7/360`

`23.7/360 xx2pir=47.2" "larr` solve for `r`

`r = (47.2 xx360)/(23.7xx2xxpi)`

`r = 114` feet