If theta=225^(@), what is the value of theta in radians? Choose 1 answer: (A) (4pi)/(3) (B) (5pi)/(4) (C) (2pi)/(5) (D) (7pi)/(6)

Identify formula: Identify the formula to convert degrees to radians. The formula is radians = degrees * (π/180°).Convert 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 radians value: Match the calculated radians value to the correct option. The calculated value is 5π/4 radians, which corresponds to option (B).Confirm correctness: Confirm that there are no mathematical errors in the previous steps and that the conversion from degrees to radians was done correctly.

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If
theta=225^(@), what is the value of
theta in radians?
Choose 1 answer:
(A)
(4pi)/(3)
(B)
(5pi)/(4)
(C)
(2pi)/(5)
(D)
(7pi)/(6)

If $\theta=225^{\circ}$ , what is the value of $\theta$ in radians? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{4\pi}{3}$ $\newline$ (B) $\frac{5\pi}{4}$ $\newline$ (C) $\frac{2\pi}{5}$ $\newline$ (D) $\frac{7\pi}{6}$

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Math Problems

Algebra 2

Convert between radians and degrees

Full solution

Q. If

\theta=225^{\circ}

, what is the value of

\theta

in radians?

\newline

Choose

1

answer:

\newline

(A)

\frac{4\pi}{3}

\newline

(B)

\frac{5\pi}{4}

\newline

(C)

\frac{2\pi}{5}

\newline

(D)

\frac{7\pi}{6}

Identify formula: Identify the formula to convert degrees to radians. The formula is $\text{radians} = \text{degrees} \times \left(\frac{\pi}{180^\circ}\right)$ .
Convert degrees to radians: Convert $225$ degrees into radians using the formula. By substituting $225$ degrees into the formula, we get $225^\circ \times (\pi/180^\circ) = (225/180) \times \pi = (5/4) \times \pi = 5\pi/4$ radians.
Match radians value: Match the calculated radians value to the correct option. The calculated value is $5\pi/4$ radians, which corresponds to option $(B)$ .
Confirm correctness: Confirm that there are no mathematical errors in the previous steps and that the conversion from degrees to radians was done correctly.