The circle in the figure below has a radius of r and center at C. The distance from A to B is x. Redraw the figure below, label as indicated in the problem, and then solve the problem.

If C = 57° and x = 22, find r. (Round your answer to the nearest whole number.)
r= _____

Question

The circle in the figure below has a radius of r and center at C. The distance from A to B is x. Redraw the figure below, label as indicated in the problem, and then solve the problem.

If C = 57° and x = 22, find r. (Round your answer to the nearest whole number.)
r= _____

liziekay · Answer

attachment

liziekay · Answer

It's not, that's wrong @Wikipedia

chrishogan · Answer

Need help?

chrishogan · Answer

cos(67°)=r/(22+r) 
cos(67°)*(22+r)=r 
cos(67°)*22+cos(67°)*r=r 
cos(67°)*22=r-cos(67°)*r 
cos(67°)*22=(1-cos(67°))*r 
cos(67°)*22/(1-cos(67°))=r 
14.1=r, rounds to 14.

liziekay · Answer

It was cos of 57 but I see the idea, thanka! @ChrisHogan

chrishogan · Answer

damn it, i thought it was 67 xD my bad, no problem tho.