Question

What is the length of the arc shown in red? 14 cm 60°

Answer 1

Given,

The angle made by the arc is of 60 degree.

The radius of the circle is 14 cm.

Required

The arc length of the circle.

The formula to calculate the arc length of the circle.

`Arc\text{ length=}(\theta)/(360^(\circ))*2\pi r`

Substituting the values then,

`\begin{gathered} Arc\text{ length=}(60^(\circ))/(360^(\circ))*2*(22)/(7)*14 \\ =(1)/(6)*2*22*2 \\ =(88)/(3) \\ =14.67\text{ cm} \end{gathered}`

Hence, the arc length of the circle is 14.67 cm.