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Which of the following radian measures is equal to
15^(@) ?
Choose 1 answer:
(A)
(pi)/(12) radians
B
(pi)/(6) radians
(C)
(pi)/(3) radians
(D)
(pi)/(4) radians

Which of the following radian measures is equal to $15^{\circ}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{\pi}{12}$ radians $\newline$ (B) $\frac{\pi}{6}$ radians $\newline$ (C) $\frac{\pi}{3}$ radians $\newline$ (D) $\frac{\pi}{4}$ radians

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Convert between radians and degrees

Full solution

Q. Which of the following radian measures is equal to

15^{\circ}

?

\newline

Choose

1

answer:

\newline

(A)

\frac{\pi}{12}

radians

\newline

(B)

\frac{\pi}{6}

radians

\newline

(C)

\frac{\pi}{3}

radians

\newline

(D)

\frac{\pi}{4}

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 $15$ degrees into radians using the formula. By substituting $15$ degrees into the formula, we get $15^\circ \times (\pi/180^\circ) = \frac{15\pi}{180}$ radians.
Simplify Fraction: Simplify the fraction $\frac{15\pi}{180}$ by dividing both the numerator and the denominator by their greatest common divisor, which is $15$ . This gives us $\frac{\pi}{12}$ radians.
Match Radian Measure: Match the simplified radian measure to the given choices. The correct match is $(A) \left(\frac{\pi}{12}\right)$ radians.

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