Question
Find the length of an arc that subtends a central angle of $45^{\circ}$ in a circle of radius $10 \mathrm{m} .$
Step 1
We know that $\pi$ radians is equal to $180^{\circ}$. So, to convert $45^{\circ}$ to radians, we multiply by $\frac{\pi}{180}$: \[45^{\circ} \times \frac{\pi}{180} = \frac{\pi}{4} \text{ radians}\] Show more…
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