Question #8d998

1 Answer
Dec 20, 2016

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!