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
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