There is a circle with two tangents that meet at point p, The lower tangent of the circle is 22cm. There is a 65 degree central angle formed by the radius and a line that goes from the center of the circle to the intersection of the two tangents. How long is the diameter?

Question

There is a circle with two tangents that meet at point p, The lower tangent of the circle is 22cm. There is a 65 degree central angle formed by the radius and a line that goes from the center of the circle to the intersection of the two tangents.  How long is the diameter?

anonymous · Answer

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$$by sine formula \frac{ r }{ \sin 25 }=\frac{ 25 }{ \sin 65 }$$
calculate r, then d=2r

anonymous · Answer

Thank you, but why does this work?

anonymous · Answer

correction write 22/sin 65 in place of 25/sin 65