Download presentation

1
**Circles Write an equation given points**

2
Example 1 Write the Equation of a circle with center (2,4) and containing the point (8,12) Use the Distance Formula to find the radius.

3
Example 2 Write the Equation of a circle with the ends of a diameter at: (2, 16) and (–2, –2) Use the Distance Formula to find the radius. Use the Midpoint Formula to find the center.

4
**Write Equation of a Circle given a Tangent**

Tangent is a line in the same plane as the circle that intersects the circle at exactly one point. Tangent to a circle is perpendicular to the radius at the point on tangency.

5
Example 3 Write the equation of the line that is tangent to the circle at the given point. 1. Identify the center and the radius of the circle center is (0,0) radius r = 5 Find the slope of the radius at the point of tangency and the slope of the tangent. use (0,0) and (3,4)

6
**The slope of perpendicular lines are negative reciprocals so the slope of the tangent is**

3. Find the slope-intercept equation of the tangent by using the point (3,4) and the slope

7
**Example 4 Write an equation of a circle with the center (1, -8) and Tangent to x=8. **

8
Example 5 Write the equation of the line that is tangent to the given circle at the given point. center radius Use (5,-5) and (1,-2) to find the slope of the radius. Find the slope-intercept equation of the tangent by using the point (5, -5) and the slope

9
Example 6 Write the equation of a circle if its Center lies in the third quadrant and it is Tangent to x=-4 y=-2 This is the Axis of Symmetry Line Shows the diameter is 10 So the Radius is 5 y=-12

10
Example 7 Write the equation of the line that is tangent to the given circle at the given point.

11
Example 8 Write the equation of the line that is tangent to the given circle at the given point.

12
Example 9 Write the Equation of a circle with the ends of a diameter at: (11, –8) and (–7, –8) Use the Distance Formula to find the radius. Use the Midpoint Formula to find the center.

13
Example 10 Write the Equation of a circle with center (–3,5) and containing the point (9,10) Use the Distance Formula to find the radius.

14
Example 11 Write the Equation of a circle with center (5, –2) and containing the point (–7,3) Use the Distance Formula to find the radius.

Similar presentations

OK

100 200 300 400 500 Distance and Midpoint Intercepts Graphing Lines Graphing Circles Random.

100 200 300 400 500 Distance and Midpoint Intercepts Graphing Lines Graphing Circles Random.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To ensure the functioning of the site, we use **cookies**. We share information about your activities on the site with our partners and Google partners: social networks and companies engaged in advertising and web analytics. For more information, see the Privacy Policy and Google Privacy & Terms.
Your consent to our cookies if you continue to use this website.

Ads by Google

Ppt on area of trapezium math Ppt on solar energy class 10 Ppt on grease lubrication tubing Transparent lcd display ppt online Ppt on sense of humor Ppt on web designing using html Ppt on model united nations Ppt on blue eyes topic Ppt on blood donation camp Ppt on revolutionaries of india