Question

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.

Answer 1

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.