Which of the following radian measures is equal to 30^(@) ? Choose 1 answer: (A) (pi)/(3) radians (B) (pi)/(6) radians (C) (pi)/(8) radians (D) pi radians

Identify Formula: Identify the formula to convert degrees to radians. The formula is radians = degrees * (π/180°).Convert Degrees to Radians: Convert 30 degrees into radians using the formula. By substituting 30 degrees into the formula, we get 30° * (π/180°) = π/6 radians.Match Result: Match the result with the given options. The correct option that represents π/6 radians is (B).

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Which of the following radian measures is equal to
30^(@) ?
Choose 1 answer:
(A)
(pi)/(3) radians
(B)
(pi)/(6) radians
(C)
(pi)/(8) radians
(D)
pi radians

Which of the following radian measures is equal to $30^{\circ}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{\pi}{3}$ radians $\newline$ (B) $\frac{\pi}{6}$ radians $\newline$ (C) $\frac{\pi}{8}$ radians $\newline$ (D) $\pi$ radians

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Math Problems

Algebra 2

Convert between radians and degrees

Full solution

Q. Which of the following radian measures is equal to

30^{\circ}

\newline

Choose

1

answer:

\newline

(A)

\frac{\pi}{3}

radians

\newline

(B)

\frac{\pi}{6}

radians

\newline

(C)

\frac{\pi}{8}

radians

\newline

(D)

\pi

radians

Identify Formula: Identify the formula to convert degrees to radians. The formula is $\text{radians} = \text{degrees} \times \left(\frac{\pi}{180°}\right)$ .
Convert Degrees to Radians: Convert $30$ degrees into radians using the formula. By substituting $30$ degrees into the formula, we get $30^\circ \times (\pi/180^\circ) = \pi/6$ radians.
Match Result: Match the result with the given options. The correct option that represents $\frac{\pi}{6}$ radians is (B).