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

Find The Length Of Arc HK Round To The Nearest HundredthInfo In Figure class=

Sagot :

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

Convert angle in degree to radian

[tex]50\times\frac{\pi}{180}=0.08722[/tex]

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

[tex]\text{Arc length =radius }\times angle[/tex]

Substitute the values in the formula.

[tex]HK=16\times50\times\frac{\pi}{180}[/tex][tex]\hat{HK}=13.9\text{units}[/tex]

Hence the arc length HK nearest hundredth is 14 units.