Questions: Convert the angle in degrees to radians. 60° 60° = radian(s) (Simplify your answer. Type an exact answer in terms of π. Use integers or fractions.)

$Convert the angle in degrees to radians. 60° 60° = radian(s) (Simplify your answer. Type an exact answer in terms of π. Use integers or fractions.)$

Transcript text: Convert the angle in degrees to radians. \[ 60^{\circ} \] $60^{\circ}=$ $\square$ radian(s) (Simplify your answer. Type an exact answer in terms of $\pi$. Use integers or fra

Solution

Solution Steps

To convert an angle from degrees to radians, we use the formula: \[ \text{radians} = \text{degrees} \times \frac{\pi}{180} \] Given the angle is $60^\circ$, we will substitute 60 into the formula.

Step 1: Convert Degrees to Radians

To convert an angle from degrees to radians, we use the formula: \[ \text{radians} = \text{degrees} \times \frac{\pi}{180} \]

Given the angle is $60^\circ$, we substitute 60 into the formula: \[ 60^\circ \times \frac{\pi}{180} \]

Step 2: Simplify the Expression

Simplify the fraction: \[ \frac{60 \pi}{180} = \frac{\pi}{3} \]

Step 3: Verify the Result

The calculated value in radians is approximately: \[ 1.0472 \text{ radians} \]