Question

lessons 2 & 3 practice problems

1. here is a circle with center h and some line segments and curves joining points on the circle.

identify examples of the following. explain your reasoning.
a. diameter
b. radius

Explanation:

Step1: Define diameter

A diameter is a straight line passing through the center of a circle and connecting two points on the circle.
In the given circle with center \(H\), \(EA\) is a diameter because it passes through the center \(H\) and has its endpoints \(E\) and \(A\) on the circle.

Step2: Define radius

A radius is a straight line from the center of a circle to a point on the circle.
In the given circle with center \(H\), \(HA\) is a radius because it has one - endpoint at the center \(H\) and the other - endpoint \(A\) on the circle.

Answer:

a. An example of a diameter is \(EA\) (since it passes through the center \(H\) and has endpoints on the circle).
b. An example of a radius is \(HA\) (since it has one endpoint at the center \(H\) and the other on the circle).