Question

3 from unit 3, lesson 2
a is the center of the circle, and the length of cd is 15 centimeters.
a. name a segment that is a radius.
how long is it?
b. name a segment that is a diameter.
how long is it?

Explanation:

• For part a:
• A radius is a segment from the center of the circle to a point on the circle. In the given circle with center \(A\), segments like \(AE\), \(AG\), \(AB\) (any segment from \(A\) to a point on the circle) are radii.
• Since the diameter \(CD = 15\) cm, and the radius \(r=\frac{d}{2}\) (where \(d\) is the diameter), the length of the radius is \(\frac{15}{2}=7.5\) cm.
• For part b:
• A diameter is a segment that passes through the center of the circle and has its endpoints on the circle. Here, \(CD\) is a diameter.
• The length of the diameter \(CD\) is given as \(15\) cm.

Answer:

a. A segment that is a radius: \(AE\) (or \(AG\) or \(AB\) etc.). Length: \(7.5\) cm.
b. A segment that is a diameter: \(CD\). Length: \(15\) cm.