Question

Convert 3/4radian into degree?

Answer 1

`(3/4)^R=42^circ57^'16^('')`
Hint: `color(red)((1)pi^R=180^circto180` Degree
`color(red)((2)1^circ=60^'to60` Minutes
`color(red)((3)1^'=60^('')to 60` Seconds

Explanation:

We know that, `pi^R=180^circ`

#:.(3/4)^R =(3/4xx180/pi)^circ...towhere,pi=22/7#

`=>(3/4)^R=(3/4xx180xx7/22)^circ`

`color(white)(................)=(945/22)^circ`

`color(white)(................)=(42 21/22)^circ`

`color(white)(................)=42^circ+ (21/22xx60)^'to[As,1^circ=60^']`

`color(white)(................)=42^circ+(1260/22)^'`

`color(white)(................)=42^circ+(57 6/22)^'`

`color(white)(................)=42^circ+57^'+(6/22xx60)^('')to [as1^'=60^('')]`

`color(white)(................)=42^circ+57^'+(360/22)^('')`

`color(white)(................)=42^circ+57^'+16^('')`

`color(white)(................)=42^circ57^'16^('')`