Geometry Circles: Tangents and Angles
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Questions and Answers

In the circle, if $AB = 24$ and $BC = 16$, what is the length of $AC$?

  • 12 (correct)
  • 32
  • 20
  • 10

    • If $m∠BDE = 72°$, what is the measure of $∠F AD$?

  • 108°
  • 72°
  • 80° (correct)
  • 36°

    • In the circle, if $m∠DAC = 22°$, what is the value of $x$?

  • 112°
  • 98°
  • 58° (correct)
  • 60°

    • If $BF = 3$, $CD = 10$, and $DE = 10$, what is the length of $FE$?

    <p>7.2</p> Signup and view all the answers

    What is the center of the circle given by the equation $(x − 3)^2 + (y + 5)^2 = 25$?

    <p>(3, -5)</p> Signup and view all the answers

    If $m∠DAB = 82°$, what is the value of $m∠EF D$?

    <p>52°</p> Signup and view all the answers

    What is the radius of the circle with equation x2 + y2 + 2x − 8y + 12 = 0?

    <p>√12</p> Signup and view all the answers

    What is the center of the circle with equation x2 + y2 + 2x − 8y + 12 = 0?

    <p>(-1, 4)</p> Signup and view all the answers

    What is the equation of a line with a slope of 2 and a y-intercept of 3?

    <p>y = 2x + 3</p> Signup and view all the answers

    Which of the following is an equation of a line that is tangent to the circle with equation x2 + y2 + 2x − 8y + 12 = 0?

    <p>y = 2x + 3</p> Signup and view all the answers

    What is the equation of the circle with center (3, 5) and radius 10?

    <p>(x - 3)^2 + (y - 5)^2 = 100</p> Signup and view all the answers

    What is the equation of the circle with center (-3, 5) and radius 50?

    <p>(x + 3)^2 + (y - 5)^2 = 2500</p> Signup and view all the answers

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