Which of the following radian measures is equal to 300^(@) ? Choose 1 answer: A) (2pi)/(3) radians (B) (4pi)/(3) radians (C) (5pi)/(3) radians (D) (7pi)/(3) radians

Identify formula for conversion: Identify the formula to convert degrees to radians. The formula is radians = degrees × (π/180°).Convert 300 degrees to radians: Convert 300 degrees into radians using the formula. By substituting 300 degrees into the formula, we get 300° × (π/180°) = (300/180) × π = (5/3) × π radians.Simplify fraction to find radian measure: Simplify the fraction (5/3) × π to find the radian measure. The simplified form is (5π/3) radians.Choose correct option for 300 degrees: Choose the correct option of radians for 300 degrees. The correct option is (5π/3) radians, which is equivalent to 300 degrees.

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Which of the following radian measures is equal to
300^(@) ?
Choose 1 answer:
A)
(2pi)/(3) radians
(B)
(4pi)/(3) radians
(C)
(5pi)/(3) radians
(D)
(7pi)/(3) radians

Which of the following radian measures is equal to $300^{\circ}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{2 \pi}{3}$ radians $\newline$ B $\frac{4 \pi}{3}$ radians $\newline$ (C) $\frac{5 \pi}{3}$ radians $\newline$ (D) $\frac{7 \pi}{3}$ 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

300^{\circ}

\newline

Choose

1

answer:

\newline

(A)

\frac{2 \pi}{3}

radians

\newline

\frac{4 \pi}{3}

radians

\newline

(C)

\frac{5 \pi}{3}

radians

\newline

(D)

\frac{7 \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 $300$ degrees to radians: Convert $300$ degrees into radians using the formula. By substituting $300$ degrees into the formula, we get $300^\circ \times (\pi/180^\circ) = (300/180) \times \pi = (5/3) \times \pi$ radians.
Simplify fraction to find radian measure: Simplify the fraction $(\frac{5}{3}) \times \pi$ to find the radian measure. The simplified form is $(\frac{5\pi}{3})$ radians.
Choose correct option for $300$ degrees: Choose the correct option of radians for $300$ degrees. The correct option is rac{5oldsymbol{ ext{ extpi}}}{3} radians, which is equivalent to $300$ degrees.