SOLUTION: In a circle whose radius is 6 cm, there is a central angle whose measure is 60 degrees.How long is the chord joining the endpoints of the arc cut off by the angle?

Question 834148: In a circle whose radius is 6 cm, there is a central angle whose measure is 60 degrees.How long is the chord joining the endpoints of the arc cut off by the angle?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
This is an isosceles triangle since the two radii (that are part of this triangle) are congruent legs.

So the base angles are both congruent to x. We have the 3 angles: 60, x, x

They must add to 180, so...

60 + x + x = 180

60 + 2x = 180

2x = 180 - 60

2x = 120

x = 120/2

x = 60

This means that all three angles of this triangle are 60 degrees. So we actually have an equilateral triangle with all sides equal to 6 cm, which is the final answer.
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