Question

Convert degrees to radians:144° = __ πEnter your answer as a decimal to the tenths place

Answer 1

To convert the degrees to radians

`144^(\circ)`

we know that,

Radian is equivalent to the angle subtended at the centre of a circle by an arc equal in length to the radius.

we get that,

`1\text{ radian}=(180^(\circ))/(\pi)\text{ degrees}`

That is,

`1\text{ degree}=\frac{\pi^{}}{180^(\circ)}\text{ radians}`

we get that,

`144^(\circ)=144^(\circ)*(\pi)/(180^(\circ))\text{ radians}`
`=(4)/(5)\pi\text{ radians}`
`=0.8\pi\text{ radians}`

Answer is: 0.8