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Chapter 2 Section 4: Circles

Chapter 2 Section 4: Circles. In this section, we will… Identify the center and radius of a circle Graph a circle using the center and radius Write the standard form and general form of the equation of a circle.

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Chapter 2 Section 4: Circles

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  1. Chapter 2 Section 4: Circles • In this section, we will… • Identify the center and radius of a circle • Graph a circle using the center and radius • Write the standard form and general form of the equation of a circle

  2. A circle is a set of points, in the coordinate plane, that are a fixed distancer from the point (h, k). d = radius center What if the center of the circle is the origin? The standard form of an equation of a circle with a radius of r and center (h, k) is 2.4 Identify the Center and Radius of a Circle

  3. Example:Find the center and the radius of the circle. Write the standard form of the equation. center: radius: standard form: 2.4 Identify the Center and Radius of a Circle

  4. Example:Find the center and the radius of the circle. Write the standard form of the equation. center: radius: standard form: 2.4 Identify the Center and Radius of a Circle

  5. The general form of an equation of a circle is Example:Write the standard form of the equation and the general form of the equation with radius r and center (h, k). r = 4 (h, k) = (2, -3) standard form: general form: 2.4 Write the Standard Form and General Form of the Equation of a Circle

  6. Example:Write the standard form of the equation and the general form of the equation with radius r and center (h, k). r = (h, k) = standard form: general form: 2.4 Write the Standard Form and General Form of the Equation of a Circle

  7. Example:Write the standard form of the circle with endpoints of a diameter at (4, 3) and (0, 1). r = (h, k) = standard form: 2.4 Write the Standard Form and General Form of the Equation of a Circle

  8. Example:Find each of the following for center: graph: radius: intercepts: 2.4 Write the Standard Form and General Form of the Equation of a Circle

  9. Example:Find each of the following for center: graph: radius: intercepts: 2.4 Write the Standard Form and General Form of the Equation of a Circle

  10. Example:Find each of the following for center: graph: radius: intercepts: 2.4 Write the Standard Form and General Form of the Equation of a Circle

  11. Example:Find each of the following for center: graph: radius: intercepts: 2.4 Write the Standard Form and General Form of the Equation of a Circle

  12. Independent Practice You learn math by doing math. The best way to learn math is to practice, practice, practice. The assigned homework examples provide you with an opportunity to practice. Be sure to complete every assigned problem (or more if you need additional practice). Check your answers to the odd-numbered problems in the back of the text to see whether you have correctly solved each problem; rework all problems that are incorrect. Read pp. 189-193 Homework: pp. 193-195 #7, 9, 15-27 odds, 35, 39, 43, 45 2.4 Circles

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