Which of the following radian measures is equal to 120^(@) ? Choose 1 answer: (A) (2pi)/(3) radians (B) pi radians (C) (4pi)/(3) radians (D) (5pi)/(3) radians

Identify formula for conversion: Identify the formula to convert degrees to radians. The formula is radians = degrees * (π/180°).Convert 120 degrees to radians: Convert 120 degrees into radians using the formula. By substituting 120 degrees into the formula, we get 120° * (π/180°) = (120/180) * π = (2/3) * π.Simplify fraction to find radian measure: Simplify the fraction (2/3) * π to find the radian measure. (2/3) * π = (2π)/3 radians.Match result with given options: Match the result with the given options. The correct option that matches (2π)/3 radians is (A) (2pi)/(3) radians.

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Which of the following radian measures is equal to
120^(@) ?
Choose 1 answer:
(A)
(2pi)/(3) radians
(B)
pi radians
(C)
(4pi)/(3) radians
(D)
(5pi)/(3) radians

Which of the following radian measures is equal to $120^{\circ}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{2 \pi}{3}$ radians $\newline$ (B) $\pi$ radians $\newline$ (C) $\frac{4 \pi}{3}$ radians $\newline$ (D) $\frac{5 \pi}{3}$ 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

120^{\circ}

\newline

Choose

1

answer:

\newline

(A)

\frac{2 \pi}{3}

radians

\newline

(B)

\pi

radians

\newline

(C)

\frac{4 \pi}{3}

radians

\newline

(D)

\frac{5 \pi}{3}

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 $120$ degrees to radians: Convert $120$ degrees into radians using the formula. By substituting $120$ degrees into the formula, we get $120^\circ \times \left(\frac{\pi}{180^\circ}\right) = \left(\frac{120}{180}\right) \times \pi = \left(\frac{2}{3}\right) \times \pi$ .
Simplify fraction to find radian measure: Simplify the fraction $(\frac{2}{3}) \cdot \pi$ to find the radian measure. $(\frac{2}{3}) \cdot \pi = \frac{2\pi}{3}$ radians.
Match result with given options: Match the result with the given options. The correct option that matches $(2\pi)/3$ radians is (A) $(2\pi)/(3)$ radians.