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Quizzes > Mathematics > Geometry

Can You Name All Parts of a Circle?

Think you can ace the parts of a circle quiz? Identify circle parts names now!

Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art illustration of a circle with labeled radius diameter chord and more on a golden yellow background

This parts of the circle quiz helps you name and spot the radius, diameter, chord, tangent, and more in quick questions. Practice at your own pace and spot gaps before a test. After you play, check your work with the answer key .

Which part of a circle is a straight line segment from the center to any point on the circumference?
Tangent
Radius
Diameter
Chord
A radius is defined as the line segment from the center of a circle to any point on its circumference. It is exactly half the length of the diameter and is fundamental to circle measurements. All radii in the same circle are equal in length.
Which part of a circle is the longest chord that passes through the center?
Tangent
Diameter
Radius
Secant
The diameter is the longest possible chord of a circle and always passes through the center, measuring twice the radius. It connects two points on the circumference directly through the center. The term comes from Greek, meaning 'across.'
What is a chord in a circle?
The region between two radii and an arc
A line segment whose endpoints lie on the circle's circumference
The distance from the center to the circumference
A line that touches the circle at exactly one point
A chord is any line segment with both endpoints on the circle's circumference. The diameter is a special chord that passes through the center. Chords do not have to go through the center, unlike diameters.
Which region of a circle is defined by two radii and the arc between them?
Tangent
Segment
Sector
Annulus
A sector is the part of a circle bounded by two radii and their intercepted arc. It looks like a 'slice' of pizza. The area of a sector depends on the central angle between the two radii.
What is the formula for the area of a sector of a circle of radius r with central angle ? (in radians)?
½ × r² × ?
? × r² × ?
r × ?
2 × r² × ?
The area of a sector is given by (1/2)r²? when ? is in radians. This comes from the ratio of the angle to the full circle (?/2?) times the full area ?r². Simplifying gives ½r²?.
What is the name of the line that intersects a circle at exactly two points?
Chord
Radius
Tangent
Secant
A secant is a line that intersects a circle at two distinct points. A chord is the segment joining those points, while a secant refers to the entire line. A tangent touches the circle at only one point.
How do you calculate the length of an arc on a circle with radius r and central angle ? (in radians)?
½ × r² × ?
2 × r × ?
? × r × ?
r × ?
The length of an arc is the product of the radius and the central angle in radians: s = r?. This is derived from the fraction ?/2? of the full circumference 2?r. It directly scales the circumference by that fraction.
In a circle, the angle formed between a tangent and a chord through the point of contact is equal to:?
Twice the measure of its intercepted arc
Equal to the central angle
The full measure of its intercepted arc
Half the measure of its intercepted arc
The tangent - chord angle theorem states that this angle equals half the measure of the intercepted arc. This is a consequence of inscribed angle relationships and circle theorems. It's a key result in circle geometry proofs.
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Study Outcomes

  1. Identify Parts of a Circle -

    After completing the parts of a circle quiz, you will accurately name circle components such as the radius, diameter, and center.

  2. Differentiate Radius and Diameter -

    You will distinguish between a radius and a diameter, explaining how the diameter spans twice the length of the radius.

  3. Recognize Advanced Circle Elements -

    You will identify more complex circle parts - including chords, arcs, sectors, and segments - in varied diagrams and contexts.

  4. Label Circle Diagrams -

    You will confidently apply circle parts names by correctly labeling each component on visual representations of circles.

  5. Apply Circle Terminology -

    You will use accurate circle vocabulary to solve geometry problems and articulate the relationships between circle parts.

Cheat Sheet

  1. Radius and Diameter -

    The radius is the distance from the center to any point on the circle, and the diameter is twice that length (d = 2r). Remember "radius runs," so it reaches from the center, while the diameter "dies twice," spanning the full circle. According to Khan Academy, mastering these basics helps you quickly identify circle parts in any geometry circle parts question.

  2. Chord vs. Secant -

    A chord is a line segment connecting two points on the circle, while a secant extends infinitely to cut the circle at two points. A handy mnemonic is "Chords stay contained, secants stretch out." Per MathWorld, recognizing these differences sharpens your ability to name parts of the circle in both quizzes and proofs.

  3. Arc and Central Angle -

    An arc is the curved section of the circle's circumference, and its measure equals the central angle in degrees. You can calculate arc length with L = (θ/360)·2πr. As noted by MIT OpenCourseWare, linking arcs with their central angles is key to acing any parts of a circle quiz.

  4. Tangent Line -

    A tangent touches the circle at exactly one point and is perpendicular to the radius at the point of contact. Think "tan-gent" as "touch-gent," gently brushing the circle. The University of Cambridge highlights that recognizing tangents can boost your confidence when identifying circle parts in complex diagrams.

  5. Sector and Segment -

    A sector resembles a pizza slice, bounded by two radii and an arc, with area A = (θ/360)·πr². A segment lies between a chord and its arc, like cutting off a pizza tip. According to the National Council of Teachers of Mathematics, distinguishing these ensures you correctly name circle parts in quizzes and real-world problems.

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