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