Convert the angle $$ heta=35^{\circ} $$ to radians. Express your answer exactly.

Question

Convert the angle $$ 	heta=35^{\circ} $$ to radians. Express your answer exactly.

UpStudy AI · Accepted Answer

To convert an angle from degrees to radians, you can use the conversion factor $$\frac{\pi}{180}$$, since $$180^\circ = \pi$$ radians.

Given:
$$
\theta = 35^\circ
$$

Convert to radians:
$$
\theta \text{ (in radians)} = 35^\circ \times \frac{\pi}{180} = \frac{35\pi}{180}
$$

Simplify the fraction by dividing the numerator and denominator by 5:
$$
\frac{35\pi}{180} = \frac{7\pi}{36}
$$

**Final Answer:**
$$
\theta = \frac{7\,\pi}{36} \text{ radians}
$$
$$ \theta = \frac{7\pi}{36} \text{ radians} $$

Convert the angle \( \theta=35^{\circ} \) to radians. Express your answer exactly.