Circle Basics, Cheat Sheet of Geometry

An overview of the fundamental concepts related to circles, including the definition of a circle, its key elements (center, radius, diameter, chord, central angle, inscribed angle, arc, tangent, and secant), and the relationships between these elements. The basic terminology and properties of circles, which are essential for understanding and applying circle geometry in various mathematical and scientific contexts. This information can be useful for students studying geometry, trigonometry, or other related fields, as it lays the foundation for more advanced topics and problem-solving involving circles.

Typology: Cheat Sheet

2022/2023

Uploaded on 05/01/2023

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Name: _________________________ Per: ________ Date: ___________
Circle Basics
Main Ideas
Circle, Center,
Radius
A circle is a set of points on. a plane that
are ________ from a fixed point called
the __________.
The distance of each point from the
center is called the ________
A circle is named by its _____________
Chord, Diameter A line segment joining any two points on
a circle is called a _____________.
A ______________ is a chord that
contains the center of the circle
The length of the diameter is _________
the radius
Central Angle,
Inscribed Angle
An angle whose___________ is the
center of the circle and whose sides are
___________ is called a central angle.
A angle whose vertex is a point on the
circle and whose sides are
_____________ is called an inscribed
angle.
Arc Any two points on the circle determine an
_____________. The two points are
called the endpoints of an arc.
Semicircle, Minor
Arc, Major Arc
An arc determined by the endpoints of a
diameter is called a _______________
An arc that is less than a semicircle is
called a ___________ arc.
An arc that is greater than a semicircle is
called a _____________ arc.
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Name: _________________________ Per: ________ Date: ___________ Circle Basics Main Ideas Circle, Center, Radius A circle is a set of points on. a plane that are ________ from a fixed point called the __________. The distance of each point from the center is called the ________ A circle is named by its _____________ Chord, Diameter A line segment joining any two points on a circle is called a _____________. A ______________ is a chord that contains the center of the circle The length of the diameter is _________ the radius Central Angle, Inscribed Angle An angle whose___________ is the center of the circle and whose sides are ___________ is called a central angle. A angle whose vertex is a point on the circle and whose sides are _____________ is called an inscribed angle. Arc Any two points on the circle determine an _____________. The two points are called the endpoints of an arc. Semicircle, Minor Arc, Major Arc An arc determined by the endpoints of a diameter is called a _______________ An arc that is less than a semicircle is called a ___________ arc. An arc that is greater than a semicircle is called a _____________ arc.

Name: _________________________ Per: ________ Date: ___________ Circle Basics Tangent, Point of Tangency A line that intersects a circle at exactly one point is called a ______________ line. The point of intersection of a circle and a tangent is called the point of ______________. Secant A line that intersects a circle at two point is a _____________ line.