Question

Find the radius of a circle if a central angle of 3pi/2 intercepts an arc of 26.4 centimeters.



0.19 cm

3.14 cm

5.6 cm

Answer 1

\(\bf \textit{arc's length}=s=\cfrac{{\color{blue}{ r}\pi \theta}}{180}\implies \cfrac{180s}{\pi \theta}={\color{blue}{ r}}\)

Answer 2

you're given the arc's length
and the angle
plug them in

Answer 3

hmmm actually your angle is in radians... ok... so one sec

Answer 4

\(\bf \textit{arc's length}=s={\color{blue}{ r}}\theta\implies \cfrac{s}{\theta}={\color{blue}{ r}}\)

Answer 5

okay thank you!