SOLUTION: Find the area of a spherical triangle ABC whose angles are 93 degrees, 64 degrees and 116 degrees. The radius of the sphere is 100 m. Please explain.

SOLUTION: Find the area of a spherical triangle ABC whose angles are 93 degrees, 64 degrees and 116 degrees. The radius of the sphere is 100 m. Please explain.

Algebra.Com

Question 1117512: Find the area of a spherical triangle ABC whose angles are 93 degrees, 64 degrees and 116 degrees. The radius of the sphere is 100 m. Please explain.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Using Girard's theorem,

So,

.
.
.
For definition on why it works, look up Girard's theorem spherical triangles.

RELATED QUESTIONS
If a= 45 degrees and c= 70 degrees are two sides of a right spherical triangle ABC, find... (answered by Shin123,ikleyn)

Two angles measure 116 degrees and 64 degrees. Are they supplementary, complementary or... (answered by JBarnum)

A spherical triangle on a sphere has an area of 419 sq.m. Find the radius of the sphere... (answered by ikleyn)

The angles of a triangle are 44 degrees, 100 degrees, and 26 degrees. Classify the... (answered by stanbon)

The degree measures of the angles of(triangle)ABC are represented by x degrees, 2x... (answered by unlockmath)

Triangle. ABC. Area. 100sq metres. Has angles 50 60 & 70. Degrees. Find the. Lengths.... (answered by Alan3354,ikleyn)

a triangle contains two angles having measures of 93 and 46 degrees. Find the measure of... (answered by ewatrrr)

The degree measures of the angles of (triangle)ABC are represented by x degrees, 2x... (answered by richwmiller)

find the area of the triangle whose vertices have polar coordinates of (0,0 degrees),... (answered by ikleyn)