Question

Identify all the central angles.

Which is it?

∠AOB, ∠BOC, ∠OBC


∠AOB, ∠BOC, ∠OBC, ∠AOC


∠AOB, ∠BOC, ∠AOC


∠AOB, ∠BOC

Answer 1

Answer: C

Explanation:

Got it right on the test.

Answer 2

C

Explanation:

There are only 3 perhaps 4. A central angle must have its vertex at the center of a circle. That means that the middle letter naming the angle must be O.

The two obvious ones without any argument are <AOB and <BOC

The question is what about <AOC. It qualifies as well. If it is a diameter then the answer is 3. If it is not a diameter but 2 radii meeting at the center then there are 4. <AOC has a major and minor arc. <OBC is not a central angle.

A is wrong. It contains <OBC.

B is wrong. Same Reason

C is correct. <AOC is a central angle

D is incomplete and therefore wrong.