Circle Geometry
This chapter will teach you some properties of circles and use them to solve a variety of problems.
![Picture](/uploads/2/8/6/5/28654915/1749340.png)
Vocabulary
Tangent: A line that intersects a circle at only one point is a tangent to the circle
Point of Tangency: The point where the tangent intersects a circle.
Tangent Radius Property: A tangent to a circle is perpendicular to the radius at the point of tangency
Tangent: A line that intersects a circle at only one point is a tangent to the circle
Point of Tangency: The point where the tangent intersects a circle.
Tangent Radius Property: A tangent to a circle is perpendicular to the radius at the point of tangency
![Picture](/uploads/2/8/6/5/28654915/1399995479.png)
Vocabulary
Chord: A line segment that joins 2 parts of a circle
Perpendicular Bisector: Intersects a line segment at 90 degrees and divides the line segment into 2 equal parts.
Major Arc: Is the larger arc.
Minor Arc: Is the shorter arc.
Chord: A line segment that joins 2 parts of a circle
Perpendicular Bisector: Intersects a line segment at 90 degrees and divides the line segment into 2 equal parts.
Major Arc: Is the larger arc.
Minor Arc: Is the shorter arc.
![Picture](/uploads/2/8/6/5/28654915/6045358.png)
Vocabulary
Inscribed Angle: Formed by jointing the end point of to a point on the circle: Or chords that share a common endpoint.
Central Angle: Formed by jointing the end point of an arc to the center of the circle: Or Formed by 2 Radii of a circle
Important!!!!
If the Inscribed and Central angles share the same arc then the central angle's degree is twice as much as the inscribed. Therefore the inscribed angle is half the degree of the central angle. As well of the inscribed angles/degrees are the same, only if the share the same arc!
Inscribed Angle: Formed by jointing the end point of to a point on the circle: Or chords that share a common endpoint.
Central Angle: Formed by jointing the end point of an arc to the center of the circle: Or Formed by 2 Radii of a circle
There can be more than one inscribed angle but there is only ever is one
Important!!!!
If the Inscribed and Central angles share the same arc then the central angle's degree is twice as much as the inscribed. Therefore the inscribed angle is half the degree of the central angle. As well of the inscribed angles/degrees are the same, only if the share the same arc!
![Picture](/uploads/2/8/6/5/28654915/8649501.png?269)
There are questions that will give you a tangent and two radii. when trying to figure them out you will use your (A^2+ B^2=C^2)
For Example:
14 would be your (A) and 12 would be your (B)
14^2+12^2+=C^2
196+144=C^2
340=C^2
(Square root both)
Answer: 18.43=C
For Example:
14 would be your (A) and 12 would be your (B)
14^2+12^2+=C^2
196+144=C^2
340=C^2
(Square root both)
Answer: 18.43=C