Center-Radius Form of the Equation of a Circle.pptx

Mathematics for Grade 10 2nd Quarter - CIRCLES

1. Center-Radius Form of the Equation of a Circle

2. Objectives Illustrates the center-radius form of the equation of a circle. Determine the center and radius of a circle given its equation and vice versa.

3. This Photo by Unknown Author is licensed under CC BY-SA

4. This Photo by Unknown Author is licensed under CC BY-SA

5.           The equation of the circle with center and radius is given by   Standard Form      

6. This Photo by Unknown Author is licensed under CC BY-SA A point can be one of the following depending on which equation or inequality the coordinates satisfy:   On the circle Interior of the circle Exterior of the circle      

7. This Photo by Unknown Author is licensed under CC BY-SA When the standard form is expanded, the equation become         General Form  

8. This Photo by Unknown Author is licensed under CC BY-SA Example 1: Write equation on both standard and general form. C (0, 0) and 5 C (-1, 2) and   Try This Write the equation of the circle in both standard and general forms. C (0, 0) and C (-2, -3) and  

9. This Photo by Unknown Author is licensed under CC BY-SA Example 2: Identify the coordinates of the center and the length of the radius of the circle from the given equation of the circle.  

10. This Photo by Unknown Author is licensed under CC BY-SA Try This Identify the coordinates of the center and the length of the radius of the circle from the given equation of the circle.  

11. This Photo by Unknown Author is licensed under CC BY-SA Reflect: “ Gulong ng Palad ” (literally translated as Wheel of the Palm or figuratively Wheel of Fate) is a famous Filipino saying or proverbs goes “Ang buhay ay parang gulong , minsan nasa ibabaw , minsan nasa ilalim .”. What does this mean? Give example. How then should we live our life?

12. This Photo by Unknown Author is licensed under CC BY-SA Enrichment Activity TRUE or FALSE #1-15 B. Describe whether the point is in the interior, exterior, on the circle or none of these. Kindly check ToHS Math 10 for your activity.