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A triangle is inscribed in a circle of radius 15.  The measures of the triangles are in the ratio 2:3:4.  FInd the lengths of the corresponding arcs.

 May 26, 2020
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A triangle (ABC) is inscribed in a circle of radius 15.  The measures of the angles are in the ratio 2:3:4.  Find the lengths of the corresponding arcs.

 

Circumradius   R = 15

 

The ratio of the angles is   2  :  3  :  4                   40°    60°    80°

 

Arc measures are                                              80°       120°     160°

 

Arc lengths are                                 20.944           31.416           41.888    smiley

 May 26, 2020
edited by Dragan  May 31, 2020

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