Answer : The arc corresponding to a central angle of 65 in a circle of radius 10 feet measures 11.34 feet.
Solution : Given,
Central angle = \(65^o=1.134radian\)
\((1degree=\frac{\pi}{180}radian)\)
Radius of circle = 10 feet
Formula used :
\(\text{Arc measure}=\theta \times radius\)
Now put all the given values in this formula, we get the arc measure.
\(\text{Arc measure}=(1.134radian) \times (10feet)=11.34feet\)
Therefore, the arc corresponding to a central angle of 65 in a circle of radius 10 feet measures 11.34 feet.
