Unlock hundreds more features
Save your Quiz to the Dashboard
View and Export Results
Use AI to Create Quizzes and Analyse Results

OR
Sign inSign in with Facebook
Sign inSign in with Google
Quizzes > High School Quizzes > Mathematics

Practice Quiz: Name That Circle Part Answer Key

Explore Worksheet & PDF Resources for Circle Parts

Difficulty: Moderate
Grade: Grade 7
Study OutcomesCheat Sheet
Colorful paper art promoting The Circle Part Challenge, a geometry quiz for high school students.

Easy
Which line segment in a circle passes through its center and has endpoints on the circle?
Tangent
Radius
Diameter
Chord
The diameter is the longest chord that passes through the center of the circle and has both endpoints on the circle. The other options do not necessarily pass through the center or have the same defining features.
What is the term for a part of the circle's edge between two points?
Arc
Sector
Chord
Segment
An arc is a continuous portion of the circle's circumference lying between two points. The other options refer either to areas or straight line segments related to the circle.
Which circle part is defined as a straight line touching the circle at exactly one point?
Tangent
Secant
Chord
Diameter
A tangent touches the circle at precisely one point, distinguishing it from other lines that may intersect the circle at two points. This property is fundamental in circle geometry.
What do you call the line segment connecting the center of the circle to any point on the circumference?
Radius
Diameter
Tangent
Chord
The radius is the segment that connects the center of the circle to any point on its circumference. Unlike the chord or diameter, the radius does not span the entire width of the circle.
Which part of the circle is defined as the area enclosed by two radii and the intercepted arc?
Sector
Arc
Segment
Annulus
A sector is the area of a circle bounded by two radii and the arc that connects their endpoints. This differs from a segment, which is bounded by a chord and its corresponding arc.
Medium
What is the term for a line that cuts through a circle, intersecting it at two distinct points?
Chord
Radius
Secant
Tangent
A secant line intersects a circle at two distinct points and extends beyond the circle. This differentiates it from tangents and chords, which have different intersection properties.
Which property correctly describes the relationship between a tangent and the radius at the point of contact?
They are collinear
They are parallel
They are perpendicular
They form a 45° angle
A fundamental property of circle geometry is that the radius drawn to the point of tangency is perpendicular to the tangent line. This perpendicularity is a key concept in many geometric proofs.
Which term differentiates a chord that passes through the circle's center from other chords?
Diameter
Segment
Secant
Arc
A chord that passes through the center of a circle is called a diameter, which is the longest chord possible in a circle. This distinguishes it from other chords that do not pass through the center.
If two chords in a circle are congruent, what can be inferred about their distance from the circle's center?
They are parallel to each other.
They lie on opposite sides of the center.
They are at different distances.
They are equidistant from the center.
In circle geometry, congruent chords are always equidistant from the center. This property helps in proving various theorems related to circles.
What is the term used for a portion of the circle enclosed by a chord and the corresponding arc?
Segment
Sector
Arc
Annulus
A segment in a circle is the region enclosed by a chord and its intercepted arc. This is different from a sector, which is bounded by two radii and the intercepted arc.
Which formula correctly represents the relationship between the circumference (C) and the diameter (D) of a circle?
C = 2Ï€D
C = πD^2
C = D/Ï€
C = πD
The circumference of a circle is determined by the formula C = πD, where D is the diameter. This formula highlights the constant ratio between the circumference and the diameter.
What is an inscribed angle in a circle?
An angle formed by two chords with its vertex on the circle.
An angle formed by a tangent and a chord.
An angle formed by two radii.
An angle at the center of the circle.
An inscribed angle is created by two chords that meet at a point on the circle. Its measure is half the measure of its intercepted arc, a key property in circle geometry.
What is the effect of moving the center of a circle in relation to changes in its circumference?
The circumference becomes twice as long.
The circumference increases.
The circumference remains unchanged.
The circumference decreases.
The circumference of a circle is solely dependent on its radius or diameter. Moving the center does not affect these dimensions, so the circumference remains unchanged.
Which statement best describes the relationship between a central angle and its intercepted arc?
The arc and angle have no relationship.
The arc is twice the angle measure.
The arc is always half of the angle.
They have equal degree measures.
A central angle and its intercepted arc share the same degree measure. This direct relationship is fundamental and often used to solve problems involving circles.
Which part of a circle is used to define the circle's size?
Tangent
Chord
Arc
Radius
The radius is the distance from the center to any point on the circumference and is a key measure of the circle's size. It directly determines other properties such as the diameter and the area.
Hard
Given two concentric circles, what term describes the region between them?
Annulus
Tangent
Chord
Sector
The annulus is the ring-shaped region bounded by two concentric circles. This area is calculated by finding the difference between the areas of the larger and smaller circles.
If a chord is 10 cm long in a circle with a radius of 8 cm, what can be deduced about the chord's distance from the center?
It is equal to 8 cm.
It is 10 cm.
Not enough information.
It is less than 8 cm.
Using the chord-length formula (chord = 2√(r² âˆ' d²)), solving for d shows that the distance from the center is less than the radius of 8 cm. This confirms that the chord does not pass through the center.
A circle has a central angle of 120°. What is the measure of the inscribed angle that intercepts the same arc, not sharing the circle's center?
90°
120°
60°
30°
An inscribed angle is measured at half the measure of its intercepted arc's central angle. Therefore, an inscribed angle intercepting a 120° arc will measure 60°.
In a circle, if a tangent and a chord form an angle of 35° at the point of tangency, what is the measure of the intercepted arc?
55°
140°
70°
35°
The angle between a tangent and a chord is equal to half the measure of the intercepted arc. Thus, an angle of 35° implies an intercepted arc of 70°.
A circle with a radius of 5 cm has a chord that subtends a central angle of 60°. Which method will correctly compute the length of the chord?
Doubling the radius and multiplying by the central angle
Dividing the circumference by the central angle
Using the formula: chord = 2r sin(angle/2)
Multiplying the radius by the central angle
The length of a chord is found using the formula chord = 2r sin(angle/2), which correctly applies the relationship between the chord, the radius, and the subtended angle. This method yields the precise chord length for a given central angle.
0
{"name":"Which line segment in a circle passes through its center and has endpoints on the circle?", "url":"https://www.quiz-maker.com/QPREVIEW","txt":"Easy, Which line segment in a circle passes through its center and has endpoints on the circle?, What is the term for a part of the circle's edge between two points?","img":"https://www.quiz-maker.com/3012/images/ogquiz.png"}

Study Outcomes

  1. Identify and label key parts of a circle accurately.
  2. Define circle-specific terminology such as radius, diameter, chord, and arc.
  3. Explain the relationships between different components of a circle.
  4. Solve problems using circle geometry principles.
  5. Apply geometric reasoning to assess and validate circle measurements.

Name That Circle Part Answer Key Cheat Sheet

  1. Circle Definition - A circle is all the points in a plane that are the same distance from a center point. The radius is that fixed distance, the diameter is twice the radius, and you can calculate the circumference with C = 2πr or the area with A = πr². It's the foundation for every circle problem you'll ever encounter! Explore Circle Basics
    2. CollegeSidekick: Circle Fundamentals
  2. Chord, Secant & Tangent - A chord joins two points on the circle, a secant cuts through at two points, and a tangent just kisses the circle at one point. These line types pop up in many geometry proofs and problems, so know how each interacts with the circle's edge. Practice drawing them to feel the difference! Dig into Chords & Tangents
    3. CollegeSidekick: Chords & Secants
  3. Central Angles - A central angle has its vertex at the circle's center, and its sides hit the circle at two points. The cool part? Its measure is exactly the same as the intercepted arc it cuts off on the circumference. This link between angles and arcs is a game-changer for many circle theorems. Central Angle Deep Dive
    4. FatSkills: Regents Circles
  4. Inscribed Angles - Inscribed angles sit on the circle's edge, formed by two chords sharing an endpoint. Their measure is always half of the intercepted arc! This Inscribed Angle Theorem is a staple for solving circle problems like arc calculations and angle chasing. Master Inscribed Angles
    5. FatSkills: Inscribed Angles
  5. Circle Equation - In the coordinate plane, a circle is (x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius. Plug in your center and radius to graph it or solve for missing values - this formula is your go-to for analytic geometry! Circle Equation Explained
    6. MathNirvana: Equation of a Circle
  6. Arc Length - The distance along the circle between two points is L = (θ/360°) · 2πr, where θ is the central angle in degrees. It's like measuring the curved "road" around the circle - super useful in real‑world contexts! Calculate Arc Length
    7. MathNirvana: Arc Length
  7. Sector Area - A sector is a "pizza slice" of the circle between two radii and the arc, with area A = (θ/360°) · πr². Perfect for finding those delicious pie‑shaped regions in problems (or real pies!). Sector Area Formula
    8. MathNirvana: Sector Areas
  8. Circle Segment - A segment is the area between a chord and its intercepted arc - think of a slice without the pointy tip. Segment formulas often combine triangle and sector calculations, so mastering those basics is key! Segment Insights
    9. CollegeSidekick: Circle Segments
  9. Radius‑Tangent Perpendicularity - The radius drawn to the tangent point is always perpendicular to the tangent line. This right-angle relationship is critical in many proofs and helps you unlock tangent‑related problems. Tangent & Radius Rule
    10. CoreStandards: Circles
  10. Full Circle Arc Sum - All arcs around a circle add up to 360°. Whenever you know some arc measures, subtract from 360° to find the mystery piece - an easy trick that pops up all the time! Arc Sum Strategy
    11. FatSkills: Arc Sums
Make a Quiz (FREE) Copy & Edit This Quiz Create a Quiz with AI

Mathematics Quizzes

Powered by: Quiz Maker