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Equation of a Circle Quiz
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Equation of a Circle Quiz

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Questions and Answers

Which of the following is the standard form of the equation of a circle with a radius of 7 and a center at (0,0)?

  • $x^2 + y^2 = \sqrt{7}$
  • $x^2 + y^2 = 49$ (correct)
  • $x^2 + y^2 = \sqrt{49}$
  • $x^2 + y^2 = 7^2$
  • Which of the following is the standard form of the equation of a circle with a radius of √2 and a center at (0,0)?

  • $x^2 + y^2 = \sqrt{2}$
  • $x^2 + y^2 = (\sqrt{2})^2$ (correct)
  • $x^2 + y^2 = \sqrt{\sqrt{2}}$
  • $x^2 + y^2 = 2$
  • Which of the following is the standard form of the equation of a circle with a radius of 9 and a center at (0,0)?

  • $x^2 + y^2 = \sqrt{81}$
  • $x^2 + y^2 = 9^2$
  • $x^2 + y^2 = 81$ (correct)
  • $x^2 + y^2 = \sqrt{9}$
  • Which of the following is the standard form of the equation of a circle with a radius of √5 and a center at (8,-4)?

    <p>$x^2 + y^2 = (\sqrt{5})^2$</p> Signup and view all the answers

    Which of the following is the standard form of the equation of a circle with a radius of 1 and a center at (3,5)?

    <p>$(x-3)^2 + (y-5)^2 = 1^2$</p> Signup and view all the answers

    Study Notes

    Circle Equations

    • Standard form of a circle equation with a radius of 7 and a center at (0,0): x² + y² = 49
    • Standard form of a circle equation with a radius of √2 and a center at (0,0): x² + y² = 2
    • Standard form of a circle equation with a radius of 9 and a center at (0,0): x² + y² = 81
    • Standard form of a circle equation with a radius of √5 and a center at (8,-4): (x-8)² + (y+4)² = 5
    • Standard form of a circle equation with a radius of 1 and a center at (3,5): (x-3)² + (y-5)² = 1

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    Description

    Test your knowledge of writing the equation of a circle in standard form with this quiz. Practice finding the standard form of a circle's equation given its radius and center. Perfect for precalculus students studying circles.

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