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Label Parts of a Circle

Grade 7 Math Worksheets

Circles are all around us, from wheels on bicycles to the sun in the sky, and understanding their components is essential to solving a wide range of mathematical problems. Let us break down the elements of circles into manageable sections.

Table of Contents:

  • Definition of a circle
  • What are the parts of a circle?
  • FAQs

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Label Parts of a Circle - Grade 7 Math Worksheet PDF

This is a free worksheet with practice problems and answers. You can also work on it online.

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Definition of a Circle

A circle is a closed curve, not just any curve. It is a curve where every point along its boundary is equally far away from the center. 

Parts of a Circle

The parts of a circle are the center, radius, diameter, circumference, arc, chord, secant, tangent, sector, and segment.

Center 

The center is like the “heart” of the circle; it is the point from which all the lines connecting the center to any point on the circle originate.

Radius 

The radius is the distance from the circle’s center to any point on its boundary. It is like the “half-width” of the circle, as it extends from the center to the edge of the circle.

Diameter 

The diameter is the longest distance that can be measured across a circle, passing through its center. A line segment connects two points on the circle’s boundary and goes through the center. The diameter is always twice the length of the radius.

Diameter = 2 × Radius. 

Circumference 

The circumference refers to the distance around the outer edge of a circle. It is like measuring the length of a path you would travel if you were to walk around the circle’s boundary.

The formula to calculate the circumference of a circle is:

Circumference = π × Diameter

Where π (pi) is a mathematical constant approximately equal to 3.14159, and Diameter is the length of the longest line that can be drawn across a circle, passing through its center.

Additionally, you can also use the radius to calculate the circumference:

Circumference = 2 × π × Radius

This formula uses the diameter and radius relationship: Diameter = 2 × Radius.

Chord 

A chord is a straight-line segment that connects two points on the circumference of a circle. Unlike a diameter, which passes through the center of the circle, a chord can be located anywhere on the circle’s boundary. Diameter is the most extended possible chord of any circle.

Arc 

An arc of a circle is a segment of the circle’s circumference. In simpler terms, it is like a portion of the “edge” of the circle. 

Major arc – A major arc is greater than half the circumference.

Minor arc – A minor arc is less than half the circumference.

Segment

A segment of a circle is a part of the circle bounded by a chord and an arc.

Major segment – It is a segment where the arc is greater than half the circumference.

Minor segment – It is a segment where the arc is less than half the circumference.

Secant
The secant of a circle is a line that intersects the circle at two distinct points. Unlike a tangent line, which touches the circle at only one point, a secant intersects the circle and extends beyond it.

Tangent
The tangent of a circle is a straight line that touches the circle at exactly one point without crossing or intersecting it.

Sector

A sector of a circle is a region bounded by two radii of the circle and the arc between them. It is a part of a circle that looks like a slice of pie. Sectors are used to measure and describe portions of a circle.

Major sector

A major sector is a circle sector defined by a central angle greater than 180 degrees (half of a full circle). In other words, it covers more than half of the circle’s circumference. A major sector’s arc is larger than a minor sector’s.

Minor sector
A minor sector is a circle sector defined by a central angle of less than 180 degrees. It covers less than half of the circle’s circumference. A minor sector’s arc is smaller than a major sector’s.

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Common Misconceptions

Misconception 1: Circumference is the Same as Diameter

The circumference is the distance around the circle, whereas the diameter is the distance across the circle through its center.

Misconception 2: Chord is Always a Diameter

While a diameter is a chord, not all chords are diameters. Diameters specifically pass through the center of the circle.

Misconception 3: A Sector and a Segment are the Same

A sector is a part of the circle enclosed by two radii and the arc between them, while a segment is the region between an arc and its chord.

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FAQs

What are the main parts of a circle?

The main parts of a circle are the center, radius, diameter, circumference, and the interior and exterior regions.

What is the center of a circle?

The center of a circle is the point equidistant from all points on the circle. It is often labeled as “O.”

What is the radius of a circle?

The radius is the distance from the center of the circle to any point on the circle’s circumference. It is typically denoted as “r.”

What is the diameter of a circle?

The diameter of a circle is a line segment that passes through the center of the circle and connects two points on the circumference. It is twice the length of the radius and is usually represented as “d.”

What is the circumference of a circle?

The circumference of a circle is the distance around the outer boundary of the circle. It can be calculated using the formula C = 2πr, where “C” represents the circumference and “r” is the radius.

Gloria Mathew writes on math topics for K-12. A trained writer and communicator, she makes math accessible and understandable to students at all levels. Her ability to explain complex math concepts with easy to understand examples helps students master math. LinkedIn

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