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Which of the following radian measures is equal to
330^(@) ?
Choose 1 answer:
(A)
(15 pi)/(6) radians
(B)
(7pi)/(6) radians
(C)
(11 pi)/(6) radians
(D)
(13 pi)/(6) radians

Which of the following radian measures is equal to $330^{\circ}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{15 \pi}{6}$ radians $\newline$ B $\frac{7 \pi}{6}$ radians $\newline$ (C) $\frac{11 \pi}{6}$ radians $\newline$ (D) $\frac{13 \pi}{6}$ radians

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Convert between radians and degrees

Full solution

Q. Which of the following radian measures is equal to

330^{\circ}

?

\newline

Choose

1

answer:

\newline

(A)

\frac{15 \pi}{6}

radians

\newline

B

\frac{7 \pi}{6}

radians

\newline

(C)

\frac{11 \pi}{6}

radians

\newline

(D)

\frac{13 \pi}{6}

radians

Identify formula for conversion: Identify the formula to convert degrees to radians. The formula is $\text{radians} = \text{degrees} \times \left(\frac{\pi}{180^\circ}\right)$ .
Convert $330$ ° to radians: Convert $330$ ° into radians using the formula. By substituting $330$ ° into the formula, we get $330^\circ \times \left(\frac{\pi}{180^\circ}\right) = \left(\frac{330}{180}\right) \times \pi = \left(\frac{11}{6}\right) \times \pi$ radians.
Simplify fraction to find radian measure: Simplify the fraction $(\frac{11}{6}) \times \pi$ to find the radian measure. The fraction is already in its simplest form, so the radian measure is $(\frac{11\pi}{6})$ radians.
Choose correct option for $330^\circ$ : Choose the correct option of radians for $330^\circ$ . The correct option is $(11\pi/6)$ radians, which is equivalent to $330^\circ$ .

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