Question

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1. give an example of each circle part using the diagram below.

a) center:

b) radius:

c) chord:

d) diameter:

e) secant:

f) tangent:

g) point of tangency:

h) minor arc:

i) major arc:

j) semicircle:

k) central angle:

l) inscribed angle:

Explanation:

Each answer is based on standard circle part definitions matched to the diagram:

• Center: The fixed point at the circle's center.
• Radius: Line segment from center to circle edge.
• Chord: Line segment with both endpoints on the circle.
• Diameter: Chord passing through the center (longest chord).
• Secant: Line intersecting the circle at two points.
• Tangent: Line touching the circle at exactly one point.
• Point of Tangency: The single point where tangent meets the circle.
• Minor Arc: Arc shorter than a semicircle (less than 180°).
• Major Arc: Arc longer than a semicircle (more than 180°).
• Semicircle: Arc equal to half the circle (180°).
• Central Angle: Angle with vertex at the center, sides as radii.
• Inscribed Angle: Angle with vertex on the circle, sides as chords.

Answer:

a) Center: $K$
b) Radius: $\overline{KJ}$ (or $\overline{KI}$, $\overline{KL}$)
c) Chord: $\overline{JL}$ (or $\overline{HI}$, $\overline{IJ}$)
d) Diameter: $\overline{IJ}$
e) Secant: $\overleftrightarrow{GI}$
f) Tangent: $\overleftrightarrow{GJ}$
g) Point of Tangency: $J$
h) Minor Arc: $\overset{\frown}{JL}$ (or $\overset{\frown}{LI}$, $\overset{\frown}{HJ}$)
i) Major Arc: $\overset{\frown}{JIL}$ (or $\overset{\frown}{LJH}$, $\overset{\frown}{IJL}$)
j) Semicircle: $\overset{\frown}{IJL}$ (or $\overset{\frown}{LIJ}$)
k) Central Angle: $\angle JKL$ (or $\angle LKI$, $\angle IKJ$)
l) Inscribed Angle: $\angle JIL$ (or $\angle IJL$, $\angle JLI$)