The circle below has a center O, and A and C are points on the circle. Use this circle to answer questions 1 – 3.

1. The piece of the circle between the points A and C is called a(n) _.

2. What kind of angle is angle AOC? (It is acute, but what is its special name due to its location within a circle?)

3. Line segment OC is a _ of the circle.

Given:

Center of the circle is O.

A and C are points on the circle.

Solution:

Question 1.

The piece of the circle between the points A and C is called an arc.

Question 2.

AOC is a acute angle. It is located in a center of the circle.

Therefore AOC is a central angle.

Question 3:

The line segment joining center to boundary of the circle is called the radius.

Therefore the line segment OC is a radius of the circle.

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