Question

A circle with center F name the Radius:name a diameter:name a cord:If the Length of FE is 10 units, what is the Length of GJ? x units

Answer 1

(a) A radius is a segment that joins the center of a circle to a point on the circle

From the diagram, the radius is:

`\bar{FE}`

(b) A diameter is a segment that passes through the center of the circle and joins two points on a circle.

From the diagram, the diameter is:

`\bar{GJ}`

(c) A chord is a segment that does not pass through the center of the circle and joins two points on a circle.

From the diagram, the chord is:

`\bar{HI}`

(d) The relation between the lengths of the radius and the diameter is:

`\text{diameter = }2\cdot radius`

From items a and b:

`\bar{GJ}=2\bar{FE}`

Substituting with FE = 10 units:

`\begin{gathered} \bar{GJ}=2\cdot10 \\ \bar{GJ}=20\text{ units} \end{gathered}`