Question

Convert 210° from degrees to radians. Use the value of π found on a calculator, and round answers to four decimal places, as needed.

Answer 1

Answer: 3.6651

Explanation:

The formula to convert
`\theta` degrees to radians is given by :-

`(\pi)/(180^(\circ))*\theta`

Given : Angle :
`\theta=210^(\circ)`

Then , the measure of angle in radians is given by :-

`(\pi)/(180^(\circ))*210^(\circ)`

Using the value of
`\pi=3.14159`, we get

`(3.14159)/(6)*7\approx3.6651`

Answer 2

There is two ways to measure an angle: in degrees and radians.

To solve the exercise above and convert 210° from degrees to radians, you have to mutilply it by π and divide it by 180°, as below:

210° to radians:

=(210°xπ)/180°

Therefore, the result is:

=(7/6)π radians
=3.6651 radians