## anonymous 3 years ago Use the arc length formula and the given information to find r. s = 12 cm, θ = 36°; r = ?

1. anonymous

2. anonymous

the formula is s = r*theta, where theta is given in RADIANS. so you should first convert that degree measure into radians then you can use the formula.

3. anonymous

check

4. anonymous

???

5. anonymous

i did this

6. anonymous

$$\large \theta = 36 \cancel {deg} \cdot \frac{\pi rad}{180 \cancel {deg}}=\frac{ \pi }{5} \text radians$$

7. anonymous

so now, $$\large 12=\frac{\pi}{5}\cdot r \rightarrow r=\frac{60}{\pi}$$

8. anonymous

oh i see thank you so much