Questions: 145° = □ 29π/36 radians

Transcript text: $145^{\circ}=$ $\square$ $\frac{29 \pi}{36}$ radians

Solution

Step 1: Understand the relationship between degrees and radians

To convert degrees to radians, we use the conversion factor: \[ 1^{\circ} = \frac{\pi}{180} \text{ radians}. \]

Step 2: Apply the conversion factor

Multiply $145^{\circ}$ by the conversion factor to convert it to radians: \[ 145^{\circ} \times \frac{\pi}{180} = \frac{145\pi}{180}. \]

Step 3: Simplify the fraction

Simplify $\frac{145\pi}{180}$ by dividing the numerator and denominator by 5: \[ \frac{145\pi}{180} = \frac{29\pi}{36}. \]

\[ \boxed{145^{\circ} = \frac{29\pi}{36} \text{ radians}} \]

Was this solution helpful?

Unhelpful

Helpful

Next >