Question

Question #8d998

Answer 1

The arc has a length of `1.88` feet, approximately.

Explanation:

The formula for arc length of a circle is `color(magenta)(s = thetar`, where `theta` is the central angle in radians, `r` is the radius and `s` is the arc.

We must convert `54˚` to radians. We use the conversion factor `pi/180`.

`54˚ xx pi/(180˚) = (3pi)/10`

Apply the above mentioned formula:

`s = theta xx r`

`s = (3pi)/10 xx 2`

`s = (3pi)/5`

`s ~= 1.88" "feet`

Hopefully this helps!