SOLUTION: Hi! I am going to take advantage of your 5 problem limit. I am currently enrolled in Pre-Ap Geometry and I am going over circles. My first problem is: Ok, on my paper it s

Algebra ->  Surface-area -> SOLUTION: Hi! I am going to take advantage of your 5 problem limit. I am currently enrolled in Pre-Ap Geometry and I am going over circles. My first problem is: Ok, on my paper it s      Log On


   

Question 719533: Hi!
I am going to take advantage of your 5 problem limit. I am currently enrolled in Pre-Ap Geometry and I am going over circles.
My first problem is:
Ok, on my paper it shows a circle and most of the circle is shaded and it had a radius of 6. The arc = 78 degrees. How do I find the arc length and the area of the shaded region?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Exactly how is the shading distributed?

For the arc length of the the 78 degrees, since the radius is 6 (for the circle), the circumference would be 2%2Api%2A6=12%2Api. The proportion of the circumference equaling the arc length is 78%2F360, so this means that the arc length for the 78 degrees portion is %2878%2F360%29%2A12%2Api. More simplified, be 78*pi/30=39*pi/15=highlight%2813%2Api%2F5%29.