Which of the following radian measures is equal to 165^(@) ? Choose 1 answer: A) (5pi)/(12) radians (B) (7pi)/(12) radians (c) (5pi)/(6) radians (D) (11 pi)/(12) radians

Identify formula for conversion: Identify the formula to convert degrees to radians. The formula is radians = degrees * (π/180°).Convert 165 degrees to radians: Convert 165 degrees into radians using the formula. By substituting 165 degrees into the formula, we get 165° * (π/180°) = (165/180) * π = (11/12) * π radians.Simplify fraction (11/12): Simplify the fraction (11/12) if necessary. In this case, the fraction is already in its simplest form, so no further simplification is needed.Choose correct option for 165 degrees: Choose the correct option of radians for 165 degrees. The correct option is (11 pi)/(12) radians, which is equivalent to 165 degrees.

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Which of the following radian measures is equal to
165^(@) ?
Choose 1 answer:
A)
(5pi)/(12) radians
(B)
(7pi)/(12) radians
(c)
(5pi)/(6) radians
(D)
(11 pi)/(12) radians

Which of the following radian measures is equal to $165^{\circ}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{5 \pi}{12}$ radians $\newline$ (B) $\frac{7 \pi}{12}$ radians $\newline$ (C) $\frac{5 \pi}{6}$ radians $\newline$ (D) $\frac{11 \pi}{12}$ 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

165^{\circ}

\newline

Choose

1

answer:

\newline

(A)

\frac{5 \pi}{12}

radians

\newline

(B)

\frac{7 \pi}{12}

radians

\newline

(C)

\frac{5 \pi}{6}

radians

\newline

(D)

\frac{11 \pi}{12}

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 $165$ degrees to radians: Convert $165$ degrees into radians using the formula. By substituting $165$ degrees into the formula, we get $165^\circ \times \left(\frac{\pi}{180^\circ}\right) = \left(\frac{165}{180}\right) \times \pi = \left(\frac{11}{12}\right) \times \pi$ radians.
Simplify fraction $(\frac{11}{12})$ : Simplify the fraction $(\frac{11}{12})$ if necessary. In this case, the fraction is already in its simplest form, so no further simplification is needed.
Choose correct option for $165$ degrees: Choose the correct option of radians for $165$ degrees. The correct option is $(\frac{11\pi}{12})$ radians, which is equivalent to $165$ degrees.