Question

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.

Answer 1

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

`Arc\text{ length=}(\theta)/(360^(\circ))\cdot2\pi r`

Substitute the given values into the formula.

`\begin{gathered} Arc\text{ length=}(120^(\circ))/(360^(\circ))\cdot2\pi\cdot6 \\ =12.566\text{ cm} \end{gathered}`