### Present Remotely

Send the link below via email or IM

• Invited audience members will follow you as you navigate and present
• People invited to a presentation do not need a Prezi account
• This link expires 10 minutes after you close the presentation

Do you really want to delete this prezi?

Neither you, nor the coeditors you shared it with will be able to recover it again.

# Circles Concept Map

Justine Baker Period 5
by

## Justine Baker

on 5 December 2017

Report abuse

#### Transcript of Circles Concept Map

Circle Concept Map
Circles
Basic Parts of a Circle
Types of Angles in a Circle
Pi
Formulas
Other
All Circles are Similar
h
Central Angles
Circles are round
Centroids
Proof
Justine Baker
Period 5

Diameter
Chord
Tangent
Secant
Inscribed Angles
Created by the angle of two radiuses in a circle
Center
Made with two chords or two secants in a circle
Equal to half of the central angle it shares an arc with
Equal to twice the amount of the inscribed angle it shares an arc with
Formula for Circumference
Sector
Area Formula
The area between two radii and the arc.
A line that passes through a circle at two points.
A line that passes through a circle at one point.
A line segment that begin from the centre and touches any point on the circle.
Point in exact middle where all other points are equidistant away from.
Must pass through the centre of the circle. The Diameter is equal to twice the radius.
The chord joins any two points on a circle.
Arcs
Sections of the circumference
Equal to half of the inscribed angle it is related to or the same as the central angle it is related to
Constructions of a Circle
Circumscribed Constructions
When an object's points all rest on the circle that surrounds it.
Inscribed Construction
To draw a circle within a polygon where the enclosed circle touches the outer figure.
Tangent Construction
When a tangent is created on a circle.
Given a circle of radius r and a second circle of radius R
Dilate with a scale factor of k= R/r
The circles will map onto eachother by a dilation
All circles are similar
When bisected, it has a 90 degree angle with the center.
Relationship with the Diameter
Pi is used to calculate the circumference of a circle along with the diameter.
Pi is used to calculate the area and circumference with the radius.
Circumcenter
The center of the circle that is circumscribed around the polygon.
Incenter
The center of the circle inside the polygon.
The intersection of all straight lines that divide X.

Theorem=2[4r/3(pi)]
Orthocenter
The intersection of three altitudes.