How many radians is 60°? Choices: [[π/3 radians][π/2 radians][π/4 radians][π/6 radians]]

Identify conversion formula: Identify the conversion formula from degrees to radians. The formula to convert degrees to radians is radians = degrees × (π/180°).Apply formula to 60 degrees: Apply the conversion formula to 60 degrees. Using the formula, we calculate 60° × (π/180°) = (60/180) × π = (1/3) × π = π/3 radians.Verify calculation: Verify the calculation to ensure there are no math errors. Double-checking the calculation: (60/180) × π simplifies to (1/3) × π, which is indeed π/3.Select correct option: Select the correct option from the given choices. The calculation shows that 60 degrees is equal to π/3 radians. Therefore, the correct choice is π/3 radians.

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How many radians is $60^\circ$ ? $\newline$ Choices: $\newline$ $[A]\frac{\pi}{3}\text{ radians}$ $\newline$ $[B]\frac{\pi}{2}\text{ radians}$ $\newline$ $[C]\frac{\pi}{4}\text{ radians}$ $\newline$ $[D]\frac{\pi}{6}\text{ radians}$

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Math Problems

Algebra 2

Convert between radians and degrees

Full solution

Q. How many radians is

60^\circ

\newline

Choices:

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[A]\frac{\pi}{3}\text{ radians}

\newline

[B]\frac{\pi}{2}\text{ radians}

\newline

[C]\frac{\pi}{4}\text{ radians}

\newline

[D]\frac{\pi}{6}\text{ radians}

Identify conversion formula: Identify the conversion formula from degrees to radians. $\newline$ The formula to convert degrees to radians is $\text{radians} = \text{degrees} \times \left(\frac{\pi}{180°}\right)$ .
Apply formula to $60$ degrees: Apply the conversion formula to $60$ degrees. $\newline$ Using the formula, we calculate $60° \times (\pi/180°) = (60/180) \times \pi = (1/3) \times \pi = \pi/3$ radians.
Verify calculation: Verify the calculation to ensure there are no math errors. $\newline$ Double-checking the calculation: $(60/180) \times \pi$ simplifies to $(1/3) \times \pi$ , which is indeed $\pi/3$ .
Select correct option: Select the correct option from the given choices. $\newline$ The calculation shows that $60$ degrees is equal to $\pi/3$ radians. Therefore, the correct choice is $\pi/3$ radians.