SOLUTION: A triangle that has a 50-degree angle and a 60-degree angle is inscribed in a circle of radius 25 inches. The circle is divided into three arcs by the vertices of the triangle. To

Question 1158590: A triangle that has a 50-degree angle and a 60-degree angle is inscribed in a circle of radius 25 inches. The circle is divided into three arcs by the vertices of the triangle. To the nearest tenth of an inch, find the lengths of these three arcs.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The arcs are twice the angles, so the arc made by the 50 degree angle is 100 degrees and the one made by the 60 degree angle is 120 degrees
the circumference is 2*pi*r=50pi inches or 157 inches using 3.14 for pi
the arc made by the 50 degree angle is 157*100/360 or 43.6 inches
the arc made by the 60 degree angle is 157(120/360) or 52.3 inches
the arc made by the remaining 70 degree angle is 157(140/360) or 61.1 inches
They add to 157 inches.
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