positive soul wrote:
The points A,B and C lie on a circle that has a radius 4. If the length of the arc ABC is 4pi/3, what is the length of line AC?
Circumference of circle -= 2*pi*r = 8*pi;
=>Slice of circle = (4*pi/3)/(8*pi) = 1/6
=> angle between center and arc =(1/6)*360 = 60 degrees.
Since OA and OC are 4 (radius), the other 2 angles are also 60 degrees. So the triangle is equilateral => AC = 4.
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