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Circles Review UNIT 9. Standards  Standard 78: Identify and describe relationships among circles (radius, diameter, chord, tangent, secant, etc.)  Standard.

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Presentation on theme: "Circles Review UNIT 9. Standards  Standard 78: Identify and describe relationships among circles (radius, diameter, chord, tangent, secant, etc.)  Standard."— Presentation transcript:

1 Circles Review UNIT 9

2 Standards  Standard 78: Identify and describe relationships among circles (radius, diameter, chord, tangent, secant, etc.)  Standard 79: Find the relationships between congruent and similar circles.  Standard 80: Solve problems involving tangents of circles.  Standard 81: Measure central angles and arcs of circles.  Standard 82: Describe relationships between adjacent arcs as well as between arcs and chords.  Standard 83: Find the lengths of chords in a circle.  Standard 84: Find the measure of arcs in a circle.  Standard 85: Determine the area and circumference of a circle.  Standard 86: Determine the area and circumference of a sector of a circle.

3 Standard 78: Identify and describe relationships among circles (radius, diameter, chord, tangent, secant, etc.)  Draw a circle and label each of the following:  Radius  Diameter  Chord  Tangent  Secant  Center

4 Standard 80: Solve problems involving tangents of circles.  Draw four circles and label them  Draw an internal tangent between circles 1 and 3.  Draw an external tangent between circles 2 and 4.

5 Standard 81: Measure central angles and arcs of circles.  Draw a circle with a central angle of 45 degrees.  Draw a circle with a radius of 12 feet and a central angle of 215 degrees.

6 Standard 82: Describe relationships between adjacent arcs as well as between arcs and chords.  What is the relationship between adjacent arcs?  What is the relationship between congruent arcs?  Draw a picture of both.

7 Standard 84: Find the measure of arcs in a circle.  Given the circle, draw an arc of 78 degrees.

8 Standard 85: Determine the area and circumference of a circle.  What is the formula for the area of a circle?  What is the formula for the circumference of a circle?

9 Standard 85: Determine the area and circumference of a circle.  There is a circle with a radius of 30 feet.  What is the area of the circle?  What is the circumference of the circle?

10 Standard 86: Determine the area and circumference of a sector of a circle.  What is the formula for the area of a sector of a circle?  What is the formula for the circumference of a sector of a circle?

11 Standard 86: Determine the area and circumference of a sector of a circle.  There is a circle with a radius of 30 feet and a sector of 38 degrees.  What is the area of the sector?  What is the circumference of the sector?


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