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Glencoe Geometry 10-1 Study Guide and Intervention Circles and Circumference Segments in Circles A circle consists of all points in a plane that are a given

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_-_- DATE —_ Study Guide and Intervention Circles Glencoe/McGraw-Hill Equations of Circles The equation of a circle with center (h, k) and radius r units is

[PDF] Study Guide and Intervention Areas of Circles and - Georgetown ISD

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10-1 Study Guide and Intervention Circles A segment or line can intersect a circle in several ways A segment with endpoints that lie on the circle is a chord

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Study Guide and Intervention Equations of Circles Equation of a Circle A circle is the locus of points in a plane equidistant from a given point You can use this

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PERIOD 10-8 Study Guide and Intervention Equations of Circles Equation of a Circle A circle is the locus of points in a plane equidistant from a given point You

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Study Guide and Intervention Equations Equation of a Circle A circle is the locus of points in a Write an equation for a circle with center (1, 3) and radius 6

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10-7 Study Guide and Intervention Special Segments in a Circle Segments Intersecting Inside a Circle If two chords intersect in a circle, then the products of the

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Exercises Example Chapter 10 6 Glencoe Geometry 10-1 Study Guide and Intervention Circles and Circumference NAME

[PDF] Study Guide and Intervention

PERIOD _____ Study Guide and Intervention Geometry: Circles and Circumference A circle is the set of all points in a plane that are the same distance from a

NAME _____________________________________________ DATE ____________________________ PERIOD _____________

Chapter 10 5 Glencoe Geometry

10-1 Study Guide and Intervention

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.

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

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