Question

Identify the following as a radius or diameter and its length. segment EB

Answer 1

Given:

The diagram of a circle.

To find:

The radius or diameter and its length, segment EB.

Solution:

If a line segment connects the center of a circle and a point on the circumference of the circle, then the line segment is known as radius.

In the given figure A is the center of the circle and points B, C, E, D are on the circumference of the circle.

So, AB, AC, AE, AD are radii of the given circle.

`AB=AC=AE=AD=4\text{ cm}`

If a line segment connects two points on the circumference and passes through the center of the circle, then the line segment is known as diameter of the circle.

In the given figure B and E are two points on the circumference of the circle and the segment BE passes through the center A. So, BE is the diameter of the circle.

Length of the diameter is:

`EB=AE+AB`

`BE=4+4`

`BE=8`

Therefore, the segment EB is a diameter and length of the segment EB is 8 cm.