Question

Equilateral triangle RST is inscribed in circle O. What fraction of the circle’s circumference lies between any two vertices of triangle RST?

Answer 1

@doulikepiecauseidont @timo86m please help :)

Answer 2

2/3 i could be wrong tho lol

Answer 3

This is a tiangle with 3 equal sides so

Answer 4

so the answer is only 1/3 ? Thanks so much , i really appreciate it !

Answer 5

You're welcome, anytime =)

Answer 6

Since the triangle is equilateral, all sides are congruent. The sides of the triangle are chords of the circle.

Theorem:
In a circle, or congruent circles, congruent chords have congruent arcs.

Since all three chords are congruent, that means that each one is a third of the circumference of the circle.

Answer 7

Thanks so much !

Answer 8

wlcm

Answer 9

np =)