SOLUTION: please answer my question with solutions if a circle of radius 4 centimeters has a cord og length 3 centimeters find the central angle that is opposite this cord(to the nearest deg

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Question 798529: please answer my question with solutions if a circle of radius 4 centimeters has a cord og length 3 centimeters find the central angle that is opposite this cord(to the nearest degree.thanks
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Connecting the ends of chord AB to the center of the circle, O, you get isosceles triangle ABO.
Its altitude, OC splits it into two congruent right triangles, ACO and BCO.
tan%28AOC%29=1.5%2F4=0.375 --> AOC=20.556%5Eo --> AOB=2%2AAOC=2%2A20.556%5Eo=41.112%5Eo
To the nearest degree, the measure of that central angle is highlight%2841%5Eo%29.