Which of the following radian measures is equal to 1,080^(@) ? (The number of degrees of arc in a circle is 360 . The number of radians of arc in a circle is 2pi.) Choose 1 answer: (A) 3pi radians (B) 6pi radians (C) 10 pi radians (D) 12 pi radians

Convert to Radians: To convert degrees to radians, use the formula: radians = degrees * (π/180°).Substitute for Calculation: Substitute 1,080 for degrees in the formula to find the equivalent in radians: 1,080 * (π/180°) = 6 * π.

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Which of the following radian measures is equal to $1,080^\circ$ ? $\newline$ (The number of degrees of arc in a circle is $360^\circ$ . The number of radians of arc in a circle is $2\pi$ .) $\newline$ Choose $1$ answer: $\newline$ (A) $3\pi$ radians $\newline$ (B) $6\pi$ radians $\newline$ (C) $10\pi$ radians $\newline$ (D) $12\pi$ radians

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Math Problems

Algebra 2

Convert between radians and degrees

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Q. Which of the following radian measures is equal to

1,080^\circ

\newline

(The number of degrees of arc in a circle is

360^\circ

. The number of radians of arc in a circle is

2\pi

\newline

Choose

1

answer:

\newline

(A)

3\pi

radians

\newline

(B)

6\pi

radians

\newline

(C)

10\pi

radians

\newline

(D)

12\pi

radians

Convert to Radians: To convert degrees to radians, use the formula: $\text{radians} = \text{degrees} \times \left(\frac{\pi}{180°}\right)$ .
Substitute for Calculation: Substitute $1,080$ for degrees in the formula to find the equivalent in radians: $1,080 \times (\pi/180°) = 6 \times \pi$ .