Which of the following radian measures is equal to 90^(@) ? Choose 1 answer: (A) (pi)/(3) radians (B) (pi)/(4) radians (C) (pi)/(2) radians (D) (pi)/(6) radians

Identify Conversion Formula: Identify the conversion formula from degrees to radians. The formula to convert degrees to radians is radians = degrees × (π/180°).Apply Formula to 90 Degrees: Apply the conversion formula to 90 degrees. Using the formula, we convert 90 degrees to radians: 90° × (π/180°) = π/2 radians.Match Result with Options: Match the result with the given options. The calculation from Step 2 shows that 90 degrees is equal to π/2 radians. Therefore, the correct answer from the given options is (C) π/2 radians.

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Which of the following radian measures is equal to $90^{\circ}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{\pi}{3}$ radians $\newline$ (B) $\frac{\pi}{4}$ radians $\newline$ (C) $\frac{\pi}{2}$ radians $\newline$ (D) $\frac{\pi}{6}$ 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

90^{\circ}

\newline

Choose

1

answer:

\newline

(A)

\frac{\pi}{3}

radians

\newline

(B)

\frac{\pi}{4}

radians

\newline

(C)

\frac{\pi}{2}

radians

\newline

(D)

\frac{\pi}{6}

radians

Identify Conversion Formula: Identify the conversion formula from degrees to radians. $\newline$ The formula to convert degrees to radians is $\text{radians} = \text{degrees} \times \left(\frac{\pi}{180°}\right)$ .
Apply Formula to $90$ Degrees: Apply the conversion formula to $90$ degrees. $\newline$ Using the formula, we convert $90$ degrees to radians: $90^\circ \times (\pi/180^\circ) = \pi/2$ radians.
Match Result with Options: Match the result with the given options. $\newline$ The calculation from Step $2$ shows that $90$ degrees is equal to $\pi/2$ radians. Therefore, the correct answer from the given options is (C) $\pi/2$ radians.