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

Step-by-step explanation:

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

$\dfrac{\pi}{180^{\circ}}\times\theta$

Given : Angle : $\theta=210^{\circ}$

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

$\dfrac{\pi}{180^{\circ}}\times210^{\circ}$

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

$\dfrac{3.14159}{6}\times7\approx3.6651$

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