Questions: What is 720° converted to radians? 1/4 π/4 4/π 4 π

What is 720° converted to radians?
1/4
π/4
4/π
4 π
Transcript text: What is $720^{\circ}$ converted to radians? $\frac{1}{4}$ $\frac{\pi}{4}$ $\frac{4}{\pi}$ $4 \pi$
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Solution

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Solution Steps

Step 1: Understand the conversion formula

To convert degrees to radians, we use the formula: \[ \text{Radians} = \text{Degrees} \times \left(\frac{\pi}{180}\right) \]

Step 2: Apply the formula

Given \(720^{\circ}\), substitute it into the formula: \[ \text{Radians} = 720 \times \left(\frac{\pi}{180}\right) \]

Step 3: Simplify the calculation

Simplify the expression: \[ \text{Radians} = 720 \times \frac{\pi}{180} = 4\pi \]

Final Answer

The correct answer is \(4\pi\). Therefore, the answer is D.

\[ \boxed{4\pi} \]

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