Convert 360° to radians.

Convert 360° to radians.

• A. π
• B. 2π
• C. 3π
• D. 4π

Answer: (B)

To convert degrees to radians, you can use the conversion factor that \(180^\circ\) is equivalent to \(\pi\) radians. The formula for converting degrees (\(d\)) to radians (\(r\)) is: \[ r = d \times \frac{\pi}{180^\circ} \] In this case, you want to convert \(360^\circ\) into radians: \[ r = 360^\circ \times \frac{\pi}{180^\circ} \] By simplifying this, first divide \(360\) by \(180\): \[ 360^\circ \div 180^\circ = 2 \] Then, multiply by \(\pi\): \[ r = 2 \times \pi = 2\pi \] Thus, \(360^\circ\) is equivalent to \(2\pi\) radians. This showcases that a full circle, represented as \(360^\circ\), corresponds to \(2\pi\) radians in radian measure.

To convert degrees to radians, you can use the conversion factor that (180^\circ) is equivalent to (\pi) radians. The formula for converting degrees ((d)) to radians ((r)) is:

[

r = d \times \frac{\pi}{180^\circ}

]

In this case, you want to convert (360^\circ) into radians:

[

r = 360^\circ \times \frac{\pi}{180^\circ}

]

By simplifying this, first divide (360) by (180):

[

360^\circ \div 180^\circ = 2

]

Then, multiply by (\pi):

[

r = 2 \times \pi = 2\pi

]

Thus, (360^\circ) is equivalent to (2\pi) radians. This showcases that a full circle, represented as (360^\circ), corresponds to (2\pi) radians in radian measure.