Question

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33. Use the diagram to name the following.​

Answer 1

`\textsf{a)} \quad \textsf{Radius = $\overline{HG}$}`

`\textsf{b)} \quad \textsf{Chord = $\overline{GF}$}`

`\textsf{c)} \quad \textsf{Diameter = $\overline{JF}$}`

`\textsf{d)} \quad \textsf{Secant = $\overleftrightarrow{GF}$}`

`\textsf{e)} \quad \textsf{Tangent = $\overleftrightarrow{GK}$}`

`\textsf{f)} \quad \textsf{Point of tangency = $\overset{\bullet}{G}$}`

`\textsf{g)} \quad \textsf{Circle $H$}`

Explanation:

a) Radius

The radius is the distance from the center of a circle to any point on its circumference. The center of the circle is point H. Therefore, the radius of the given circle is line segment HG.

b) Chord

A chord is a straight line joining two points on the circumference of the circle. There are two chords in the given circle: line segments GF and JF. Therefore, a chord of the given circle is line segment GF.

c) Diameter

The diameter of a circle is a straight line segment passing through the center of a circle, connecting two points on its circumference.

Therefore, the diameter of the given circle is line segment JF.

e) Secant

A secant is a straight line that intersects a circle at two points.

Therefore, the secant of the given circle is line GF.

f) Tangent

A tangent is a straight line that touches a circle at only one point.

Therefore, the tangent line of the given circle is line GK.

g) Point of tangency

The point of tangency is the point where the line touches the circle.

Therefore, the point of tangency of the given circle is point G.

h) Circle

A circle is named by its center point. Therefore, as the center point of the circle is point H, the name of the circle is "Circle H".