Question

Find the length of arc HK. Round to the nearest hundredth.(Info in figure)

Answer 1

The length of HJ is 16 units and angle HJK is 50 degree.

Convert angle in degree to radian

`50*(\pi)/(180)=0.08722`

To determine the arc length HK, use the arc length formula.

`\text{Arc length =radius }* angle`

Substitute the values in the formula.

`HK=16*50*(\pi)/(180)`
`\hat{HK}=13.9\text{units}`

Hence the arc length HK nearest hundredth is 14 units.