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: Identify the formula to convert degrees to radians. The formula is radians = degrees * (π/180°).Convert Degrees to Radians: Convert 165 degrees into radians using the formula. By substituting 165 degrees into the formula, we get 165° * (π/180°) = (165π/180) radians.Simplify Fraction: Simplify the fraction (165π/180) to its lowest terms. Both the numerator and the denominator are divisible by 15. Dividing both by 15, we get (11π/12) radians.Match to Choices: Match the simplified radian measure to the given choices. The correct match from the choices is (D) (11π/12) radians.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

View step-by-step help

Home

Math Problems

Algebra 2

Convert between radians and degrees

Full solution

Q. Which of the following radian measures is equal to

\newline

165^\circ

\newline

Choose

1

answer:

\newline

(A)

\newline

\frac{5\pi}{12}

radians

\newline

(B)

\newline

\frac{7\pi}{12}

radians

\newline

(C)

\newline

\frac{5\pi}{6}

radians

\newline

(D)

\newline

\frac{11\pi}{12}

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 $165$ degrees into radians using the formula. By substituting $165$ degrees into the formula, we get $165^\circ \times (\pi/180^\circ) = (165\pi/180)$ radians.
Simplify Fraction: Simplify the fraction $(165\pi/180)$ to its lowest terms. Both the numerator and the denominator are divisible by $15$ . Dividing both by $15$ , we get $(11\pi/12)$ radians.
Match to Choices: Match the simplified radian measure to the given choices. The correct match from the choices is $(D) \left(\frac{11\pi}{12}\right)$ radians.