Respuesta :

Answer: 60°

Step-by-step explanation:

π/3

Since π is denoted as 180°, the question can be rewritten as:

π/3 .

To convert π/3 radians to the nearest degree will be:

π/3 = 180/3

= 60°

This shows that the value of π/3 rads is equal to 60°

Data;

  • [tex]\frac{\pi }{3}[/tex]rads

Conversion of radians to degree

The formula of conversion from radians to degrees is given as

[tex]\pi rads = 180^0[/tex]

Let's convert our given radians to degrees.

[tex]\pi rads = 180^0\\\frac{\pi}{3} = ?\\[/tex]

This becomes

[tex]\frac{\pi }{3} * 180 = \pi \\\\\frac{\pi }{3} rads = \frac{180}{3} \\\frac{\pi }{3} rads = 60^0[/tex]

What we did was equate π rads to 180°, cross multiply the sides with π/3 and solve.

This shows that π/3 rads is equal to 60°

Learn more on conversion of radians to degrees here

https://brainly.com/question/3004847