# Thread: How can measure of a minor arc is equal to measure of its central angle in a circle?

1. ## How can measure of a minor arc is equal to measure of its central angle in a circle?

How can measure of a minor arc is equal to measure of its central angle in a circle?

2. ## Re: How can measure of a minor arc is equal to measure of its central angle in a circ

How are you defining "measure of a minor arc of a circle"?

as angles.

4. ## Re: How can measure of a minor arc is equal to measure of its central angle in a circ

What angle? Again, how are you defining the "measure of a minor arc". You have to know that before you can prove anything about the measure!

5. ## Re: How can measure of a minor arc is equal to measure of its central angle in a circ

Originally Posted by hisajesh
How can measure of a minor arc is equal to measure of its central angle in a circle?
Since Hilbert's axioms (See Moise, 1974) all angular measures are from zero to $\pi$. Therefore, a central angle be definition subtends a minor arc. That is unless you answer the asked question: What definition are you using?

6. ## Re: How can measure of a minor arc is equal to measure of its central angle in a circ

Originally Posted by hisajesh
How can measure of a minor arc is equal to measure of its central angle in a circle?
Central Angle and Arc Relationship Lesson by MATHguide

7. ## Re: How can measure of a minor arc is equal to measure of its central angle in a circ

hisajesh, since you thanked skeeter you have been reading these responses. Is there any reason why you have not answered the question asked in the first response, "How are you defining "measure of a minor arc of a circle"?"