Question

1. here are two circles. their centers are a and f. (2 points)

a. what is the length of segment ad? how do you know?
b. on the first circle, what segment is a diameter? how long is it?
a wire that has a length of 88 cm is bent into a circle. what is the radius of the circle? (2 points)

Explanation:

Step1: Find the length of segment AD

In a circle, all radii are equal. Since \(AC = 4\) cm and \(AD\) is also a radius of the same circle (center \(A\)), \(AD = 4\) cm.

Step2: Identify the diameter of the first circle

A diameter is a line segment that passes through the center of the circle and has its endpoints on the circle. For the circle with center \(A\), segment \(EB\) (or \(BE\)) is a diameter. The length of a diameter \(d = 2r\), where \(r\) is the radius. Given \(r=4\) cm, \(d = 2\times4=8\) cm.

Answer:

a. The length of segment \(AD\) is \(4\) cm because all radii of a circle are equal.
b. Segment \(EB\) (or \(BE\)) is a diameter of the first circle and its length is \(8\) cm.