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If the radius of the circle is 6cm, what is the length of arc BC? Round to the neare:thousandth (3 decimal places) and use the pi button on the calculator.

If The Radius Of The Circle Is 6cm What Is The Length Of Arc BC Round To The Nearethousandth 3 Decimal Places And Use The Pi Button On The Calculator class=

Sagot :

Given that:

Radius of the circle = 6 cm

Central angle of the arc = 120 degrees

The formula to find the arc length of a circle of radius is

[tex]Arc\text{ length=}\frac{\theta}{360^{\circ}}\cdot2\pi r[/tex]

Substitute the given values into the formula.

[tex]\begin{gathered} Arc\text{ length=}\frac{120^{\circ}}{360^{\circ}}\cdot2\pi\cdot6 \\ =12.566\text{ cm} \end{gathered}[/tex]
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