1. ## Angles and Radian Measures

I tried to find some help online but I havent found any yet. :[
How do you find the radius of a circle if an arc is 14.2 cm long and is intercepted by a central angle of 60 degrees.

2. What is the formula you are using?

3. try r=s/central angle other words radius equals arc length divided by central angle

4. Hello,
Originally Posted by topaz192
I tried to find some help online but I havent found any yet. :[
How do you find the radius of a circle if an arc is 14.2 cm long and is intercepted by a central angle of 60 degrees.

5. Originally Posted by topaz192
I tried to find some help online but I havent found any yet. :[
How do you find the radius of a circle if an arc is 14.2 cm long and is intercepted by a central angle of 60 degrees.

arc a=14.2 cm
angle $\displaystyle \theta=60$

$\displaystyle \theta=60.\frac{\pi}{180}\;radian$

$\displaystyle \theta=1.0472\;radian$

$\displaystyle a=r.\theta$

$\displaystyle r=\frac{a}{\theta}$

$\displaystyle r=\frac{14.2}{1.0472}$

r=13.56 cm