Geometry: Understanding Circles

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Questions and Answers

What is the definition of a circle?

  • A polygon with no sides
  • A closed figure with straight sides
  • A three-dimensional geometric shape
  • A set of points in a plane equidistant from a given point (correct)

What is the term used for the distance around the circle?

  • Circumference (correct)
  • Radius
  • Area
  • Diameter

Which formula is used to calculate the area of a circle?

  • $ rac{1}{2} imes r imes h$
  • $ ho^2 imes ext{Ï€}$
  • $ ext{Ï€} imes r^2$ (correct)
  • $ ext{Diameter} imes ext{Height}$

What does the radius of a circle represent?

<p>The distance from the center to any point on the circle (B)</p> Signup and view all the answers

Which of the following statements is true about a circle?

<p>All points on a circle are equidistant from the center. (D)</p> Signup and view all the answers

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Study Notes

Definition of a Circle

  • A circle is a two-dimensional geometric shape consisting of all points that are equidistant from a fixed center point.

Distance Around the Circle

  • The distance around a circle is referred to as the circumference.

Area of a Circle

  • The formula used to calculate the area of a circle is A = Ï€r², where A represents area and r represents the radius.

Radius of a Circle

  • The radius of a circle denotes the distance from its center to any point on its circumference, essentially representing half of the diameter.

True Statements About a Circle

  • Circles have constant curvature; all points on the circumference are the same distance from the center.

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