Question #8d998

1 Answer
Dec 20, 2016

The arc has a length of 1.881.88 feet, approximately.

Explanation:

The formula for arc length of a circle is color(magenta)(s = thetars=θr, where thetaθ is the central angle in radians, rr is the radius and ss 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!