Which of the following radian measures is equal to 225^(@) ? Choose 1 answer: A) (pi)/(4) radians (B) (pi)/(2) radians (C) (3pi)/(4) radians (D) (5pi)/(4) radians

Identify formula for conversion: Identify the formula to convert degrees to radians. The formula is radians = degrees * (π/180°).Convert 225 degrees to radians: Convert 225 degrees into radians using the formula. By substituting 225 degrees into the formula, we get 225° * (π/180°) = (225/180) * π = (5/4) * π = (5π/4) radians.Match calculated radian measure: Match the calculated radian measure with the given options. The calculated value is (5π/4) radians, which corresponds to option (D).

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Which of the following radian measures is equal to
225^(@) ?
Choose 1 answer:
A)
(pi)/(4) radians
(B)
(pi)/(2) radians
(C)
(3pi)/(4) radians
(D)
(5pi)/(4) radians

Which of the following radian measures is equal to $225^{\circ}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{\pi}{4}$ radians $\newline$ B $\frac{\pi}{2}$ radians $\newline$ (C) $\frac{3 \pi}{4}$ radians $\newline$ (D) $\frac{5 \pi}{4}$ 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

225^{\circ}

\newline

Choose

1

answer:

\newline

(A)

\frac{\pi}{4}

radians

\newline

\frac{\pi}{2}

radians

\newline

(C)

\frac{3 \pi}{4}

radians

\newline

(D)

\frac{5 \pi}{4}

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 $225$ degrees to radians: Convert $225$ degrees into radians using the formula. By substituting $225$ degrees into the formula, we get $225^\circ \times \left(\frac{\pi}{180^\circ}\right) = \left(\frac{225}{180}\right) \times \pi = \left(\frac{5}{4}\right) \times \pi = \frac{5\pi}{4}$ radians.
Match calculated radian measure: Match the calculated radian measure with the given options. The calculated value is $(5\pi/4)$ radians, which corresponds to option (D).