Intro to Circles Lesson 1 – 1 Math iii.

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Presentation transcript:

Intro to Circles Lesson 1 – 1 Math iii

Circle Center Radius Interior Exterior Chord The set of points in a plane that are a given distance from a point Center The point of a circle that all points on the circle are a given distance from Radius A segment extending from the center to any point on the circle (plural – radii) Interior All points inside the circle Exterior All points outside the circle Chord A segment joining two points on the circle

Chord, secant, tangent, raidus, diameter, circumference, arc, sector, center, common tangent, internal tangent, external tangent, semicircle

Diameter Secant Tangent Point of tangency Common Tangent Any chord containing the center of the circle Secant Any line, ray, or segment that contains a chord Tangent Any line ray or segment that intersects a circle at only one point Point of tangency The point of intersection shared by two tangent figures Common Tangent A line, ray or segment that is tangent to 2 circles

Ex #1: Use the terms to describe these parts of the figure. Point O OM Segment MN Line MN MQ OR Segment RV Line RV

In circle O, AO = 5, DB = 2, CDO is a right angle. Find a, b, and c.

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Is AB tangent to the circle at point B? Is DE tangent to the circle at point E?

Tangent Exercises You are standing 8 ft from a grain silo. The distance from you to a point of tangency on the silo is 16 feet. What is the radius of the silo? You are standing 10 feet from a pool that is 25’ in diameter. How far are you from the point of tangency to the pool? You are 15 feet away from a circular water tower. The distance from you to a point of tangency on the tower is 28 feet. What is the diameter of the tower?