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Geometry—Ch. 11 Review

Geometry—Ch. 11 Review. 1) A line which intersects a circle in two points is called a ________________. secant. 2) A segment which has one endpoint at the center of a circle and the other endpoint on the circle is called a ______________. radius. Geometry—Ch. 11 Review.

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Geometry—Ch. 11 Review

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  1. Geometry—Ch. 11 Review 1) A line which intersects a circle in two points is called a ________________. secant 2) A segment which has one endpoint at the center of a circle and the other endpoint on the circle is called a ______________. radius

  2. Geometry—Ch. 11 Review 3) A segment which has its endpoints on the circle is called a ______________. chord 4) A chord which passes through the center of a circle is called a ______________. diameter

  3. Geometry—Ch. 11 Review 5) What’s the difference between a secant and a tangent? How are they similar? A secant intersects the circle in two points, where a tangent only touches the circle once. Secants and tangents are similar in thatthey are both lines.

  4. 6) CD CD+31 =101 Geometry—Ch. 11 Review (F is the center of the circle.) 101 Find the measure of each arc: A E 70 79 F B D C 31

  5. 7) DEB 8) AED AED is a semicircle!!! Geometry—Ch. 11 Review (F is the center of the circle.) 101 Find the measure of each arc: A E = 79+101+79 79 F = 259 B D = 180 31 C 70

  6. 154 77 206 Geometry—Ch. 11 Review 9) Find the measure of arc ABC: A 77 * 2 = 154 360 –154 =206 B 206 C

  7. The angles of a triangle add up to 180, so the missing angle here is 26 degrees. Geometry—Ch. 11 Review 10) Find the measure of arc TY: T 52 Since vertical angles arecongruent, we have another93 degree angle here. B 93 93 Y 61 122 Angle Y is an inscribed angle, so its measure is ½ the measure of arc OB. 26 O Angle O is also an inscribed angle, so its measure is ½ the measure of arc TY.

  8. x = ½ (large arc – small arc) x = ½ (159 – 75) Geometry—Ch. 11 Review 11) Solve for x: . 126 159 Since all circles contain 360 degrees, the missing arc is 75 degrees. 75 x x = 42

  9. x = ½ (large arc + small arc) x = ½ (114 + 106) Geometry—Ch. 11 Review 12) Solve for x: . 114 x 106 x = 110

  10. x 28 . = 28 ½ (89 – y) 89 171 Geometry—Ch. 11 Review 13) Solve for x: y We’ll temporarilycall this arc “y”. 89 – y = 56 y = 33 x + 33 + 89 + 171 = 360 x = 67 x + 293 = 360

  11. . 15 8 x 22 x = 11.73 Geometry—Ch. 11 Review 14) Solve for x: (x)(15) = (8)(22) 15x = 176

  12. . x 4 3 13 Geometry—Ch. 11 Review 15) Solve for x: (4)(4+x) = (3)(3+13) 16+4x = 48 4x = 32 x = 8 (outside piece)(entire segment) = (outside piece)(entire segment)

  13. …and the radius is 3 units long. Geometry—Ch. 11 Review 16) Graph the following circle: (x-3)2 + (y+2)2 = 9 The center will be at (3,-2).

  14. 5 cm A = 2p5(78/360) 78o (approximately 6.81 square cm) B Geometry—Ch. 11 Review 17) Find the length of the arc from A to B: Arc length = 2pr (angle/360)

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