Finding the length of an arc

:) Hi, just wanted to make sure that I am doing this correctly? Can someone please help me with Finding the length of an arc if the radius is 10" and the central angle is 45 deg. I need to find the answer in terms of pie. Thanks!

Also, I need to find a positive co-terminal angle for 120 deg. and one for pie/5

and a negative co-terminal angle for 420 deg. and one for 3 pie/5

can someone verify what the complement of angle of 20 deg is. and the supplement of an angle of 3pie / 5

How do I change a the following into decimal form? 23 deg. 30' 15"

THANK YOU VERY MUCH

arc length give radius and angle

Welcom Justardms,

Just a note of advice, try to keep questions to a minimum of 1 or 2 per post as you will get better results. In keeping with my advice I will answer your first question only;)

To find the arc length you can use the equation $\displaystyle s=r\theta$

where s = arc length, r = radius, and $\displaystyle \theta$ = angle in **radians**

so

$\displaystyle s = 10"(45*\frac{\pi}{180})$