Which of the following radian measures is equal to 150^(@) ? Choose 1 answer: (A) (pi)/(3) radians (B) (pi)/(2) radians (C) (2pi)/(3) radians (D) (5pi)/(6) radians

Convert to radians: We need to convert degrees to radians using the formula radians = degrees * (π/180).Plug in degrees: Now, plug in 150 degrees into the formula: radians = 150 * (π/180).Simplify fraction: Simplify the fraction: radians = (150/180) * π = (5/6) * π.Final conversion: So, 150 degrees is equal to (5π/6) radians.

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Which of the following radian measures is equal to
150^(@) ?
Choose 1 answer:
(A)
(pi)/(3) radians
(B)
(pi)/(2) radians
(C)
(2pi)/(3) radians
(D)
(5pi)/(6) radians

Which of the following radian measures is equal to $150^{\circ}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{\pi}{3}$ radians $\newline$ (B) $\frac{\pi}{2}$ radians $\newline$ (C) $\frac{2 \pi}{3}$ radians $\newline$ (D) $\frac{5 \pi}{6}$ 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

150^{\circ}

\newline

Choose

1

answer:

\newline

(A)

\frac{\pi}{3}

radians

\newline

(B)

\frac{\pi}{2}

radians

\newline

(C)

\frac{2 \pi}{3}

radians

\newline

(D)

\frac{5 \pi}{6}

radians

Convert to radians: We need to convert degrees to radians using the formula $\text{radians} = \text{degrees} \times (\pi/180)$ .
Plug in degrees: Now, plug in $150$ degrees into the formula: $\text{radians} = 150 \times (\pi/180)$ .
Simplify fraction: Simplify the fraction: radians = $(\frac{150}{180}) \times \pi = (\frac{5}{6}) \times \pi$ .
Final conversion: So, $150$ degrees is equal to $(5\pi/6)$ radians.