Question

A chord of a circle of radius 5cm subtains an angle of 70°at the centre.calculate the length of an arc

​

Answer 1

`Length = 6.11\ cm`

Step-by-step explanation:

Given

`\theta = 70\°`

`Radius, r = 5cm`

Required

Determine the length of the subtended arc

Length of an arc is calculated by;

`Length = (\theta)/(360) * 2\pi r`

Substitute
`\theta = 70\°` and
`r = 5cm`

`Length = (70)/(360) * 2\pi *5`

`Length = (70* 2\pi *5)/(360)`

`Length = (700 \pi)/(360)`

Take π as 22/7

`Length = (700)/(360) * (22)/(7)`

`Length = (700 * 22)/(360 * 7)`

`Length = (15400)/(2520)`

`Length = 6.11\ cm`

Hence, the length of the arc is approximately 6.11 cm