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=(\pi)/(180)radian)`

Radius of circle = 10 feet

Formula used :

`\text{Arc measure}=\theta * radius`

Now put all the given values in this formula, we get the arc measure.

`\text{Arc measure}=(1.134radian) * (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.