Question

The arc corresponding to a central angle of 65 in a circle of radius 10 feet measures _____ feet. Round your answer to two decimal places.

Answer 1

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.

Answer 2

The arc corresponding to a central angle of 65 in a circle of radius 10 feet measures11.34  feet.