👤
Answered

Refer to the figure below and mark all statements that are true. I A. If the measure of 9 is 0.5 radians, then the arc length is I B. If the measure of a is 60°, then the arc length is r. I c. If the ratio of the arc length to ris 1, then the measure of e is 1 radian D. The ratio of the arc length to r is always equal to

Answer :

For A. We have:

[tex]\begin{gathered} arc\text{ length=}r\theta \\ arc\text{ length=r (0.5)} \\ \text{arc length = r (}\frac{1}{2}) \\ \text{arc length = }\frac{r}{2} \end{gathered}[/tex]

A is True

For B. 60° = π/3 radians

[tex]\text{arc length=}\frac{\pi}{3}r[/tex]

B is false

For C. We have

[tex]\begin{gathered} \frac{arc\text{ length}}{r}=1 \\ \frac{r\theta}{r}=1 \\ \theta=1 \end{gathered}[/tex]

C is true

For D. We have

[tex]\begin{gathered} \frac{arc\text{ length}}{r}=\frac{r\theta}{r}=\theta \\ It^{\prime}s\text{ not }\pi \end{gathered}[/tex]

D is false

Answer: A and C

Go Teaching: Other Questions