10-1 Study Guide and Intervention

3. Name chords of the circle. 4. Name diameters of the circle. 5. If AB = 18 millimeters find AR.

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Study Guide and Intervention. Equations of Circles Write an equation for a circle with center (-1 3) and radius 6. ... Graph (x + 3)2 + (y + 1)2 = 9.

9-1 Study Guide and Intervention - Circles and Circumference

Chapter 9. 5. Glencoe Geometry. 9-1 Study Guide and Intervention. Circles and Circumference. Segments in Circles A circle consists of all points in a plane

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10-3 Study Guide and Intervention. Circles. Equations of Circles The equation of a circle with center (h k) and radius r units is.

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Chapter 9 5 Glencoe Geometry 9-1 Study Guide and Intervention Circles and 1.2 - Linear Measure and Precision Geometry Unit 3 Study Guide VIDEO 8 5 Study ...

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NAME DATE PERIOD 7-3 Study Guide and Intervention Chapter 9 5 Glencoe Geometry 9-1 Study Guide and Intervention Circles and Circumference.

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10-3. Arcs and Chords Points on a circle determine both chords and arcs. Study Guide and Intervention. Arcs and Chords. A. 64 7. Chapter 10. 9.

NAME _____________________________________________ DATE ____________________________ PERIOD _____________

Chapter 10 5 Glencoe Geometry

Circles and Circumference

Segments in Circles A circle consists of all points in a plane that are a given distance, called the radius, from a given point called the center. A segment or line can intersect a circle in several ways. circle is a radius. chord. collinear radii is a diameter. For a circle that has radius r and diameter d, the following are true r = ௗ

6 r = ଵ

6d d = 2r

chord: ܧܣ$$$$, ܦܤ radius: ܤܨ$$$$, ܥܨ$$$$, ܦܨ diameter: ܦܤ

Example

a. Name the circle.

The name of the circle is ۨ

b. Name radii of the circle. ܱܣ $$$$, ܱܤ$$$$, ܱܥ$$$$, and ܱܦ c. Name chords of the circle.

ܤܣ $$$$ and ܦܥ

Exercises

For Exercises 1-7, refer to

1. Name the circle.

2. Name radii of the circle.

3. Name chords of the circle.

4. Name diameters of the circle.

5. If AB = 18 millimeters, find AR.

6. If RY = 10 inches, find AR and AB.

7. Is ܤܣ$$$$ ܻܺ ؆

ࡾ࡭തതതത, ࡾ࡮തതതത, ࡾࢅതതതത, and ࡾࢄതതതത

࡮ࢅതതതത, ࡭ࢄതതതത, ࡭࡮തതതത, and ࢄࢅതതതത

࡭࡮തതതത, and ࢄࢅതതതത 9 mm

AR = 10 in.; AB = 20 in.

Yes; all diameters of the same circle are congruent.

NAME _____________________________________________ DATE ____________________________ PERIOD _____________

Chapter 10 6 Glencoe Geometry

10-1 Study Guide and Intervention (continued)

Circles and Circumference

Circumference The circumference of a circle is the distance around the circle. Circumference For a circumference of C units and a diameter of d units of a radius of r units,

C = ʌd or C = 2ʌr

Example: Find the circumference of the circle to the nearest hundredth.

C ʌr Circumference formula

ʌ r =13

ʌ Simplify.

Use a calculator.

Exercises

Find the diameter and radius of a circle with the given circumference. Round to the nearest hundredth.

1. C = 40 in. 2. C = 256 ft

3. C = 15.62 m 4. C = 9 cm

5. C = 79.5 yd 6. C = 204.16 m

Find the exact circumference of each circle using the given inscribed or circumscribed polygon.

7. 8.

9. 10.

11. 12.

12.73 in.; 6.37 in. 81.49 ft; 40.74 ft

4.97 m; 2.49 m 2.86 cm; 1.43 cm

25.31 yd; 12.65 yd 64.99 m; 32.49 m

ʌ 9ξ૛ʌ

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[PDF] 10-1 Study Guide and Intervention - Circles and Circumference

Chapter 10 5 Glencoe Geometry

10-1 Study Guide and Intervention

Circles and Circumference

6 r = ଵ

6d d = 2r

Example

The name of the circle is ۨ

ܤܣ $$$$ and ܦܥ

Exercises

For Exercises 1-7, refer to

1. Name the circle.

2. Name radii of the circle.

3. Name chords of the circle.

4. Name diameters of the circle.

5. If AB = 18 millimeters, find AR.

6. If RY = 10 inches, find AR and AB.

7. Is ܤܣ$$$$ ܻܺ ؆

AR = 10 in.; AB = 20 in.

Chapter 10 6 Glencoe Geometry

10-1 Study Guide and Intervention (continued)

Circles and Circumference

C = ʌd or C = 2ʌr

C ʌr Circumference formula

ʌ r =13

ʌ Simplify.

Use a calculator.

Exercises

1. C = 40 in. 2. C = 256 ft

3. C = 15.62 m 4. C = 9 cm

5. C = 79.5 yd 6. C = 204.16 m

7. 8.

9. 10.

11. 12.

12.73 in.; 6.37 in. 81.49 ft; 40.74 ft

4.97 m; 2.49 m 2.86 cm; 1.43 cm

25.31 yd; 12.65 yd 64.99 m; 32.49 m

ʌ 9ξ૛ʌ