SOLUTION: two tangent segments to a circle intersect and make an angle of 48 degrees 15' 12". Find the radius of the circle if one of the tangent segment is 27.2 cm

Question 831395: two tangent segments to a circle intersect and make an angle of 48 degrees 15' 12". Find the radius of the circle if one of the tangent segment is 27.2 cm
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
PT and PR are the tangents from point P to circle O.
The tangents are perpendicular to radii OT and OR, so triangles PTO and PRO are right triangles.
Quadrilateral PTOR is a kite.
Sides PT and PR measure 27.2 cm.
The measure of sides OT and OR is the radius that we want to find.
Angle OPT measures (half of ) .
(approximately)
So (rounded)
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