Length of the arc of the circle is .
Area of the sector ,
Where is radius of the circle and
is central angle measured in radians.
Find the arc length.
\Radius of the circle is yd and central angle
.
Convertt the into radian measure.
\Consider .
Substitute and
in
.
Length of the arc is 14.661 yd.
\ \Find the area of the sector.
\Consider .
Substitute corresponding values in above formula.
\Thus, area of the sector is 87.965 square yd.
\ \Length of the arc is 14.661 yd.
\Area of the sector is 87.965 square yd.