Geometry Concepts and Measurements

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Questions and Answers

What is the center of a circle?

The point from which all points on a circle are the same distance.

What is a circle?

A round plane figure whose boundary consists of points equidistant from the center.

What is the circumference?

The distance around a circle.

What is a composite figure?

<p>A figure that can be separated into regions that are basic figures.</p> Signup and view all the answers

What is the diameter?

<p>A straight line passing from side to side through the center of a circle or sphere.</p> Signup and view all the answers

What is a lateral face?

<p>In a polyhedron, a face that is not a base.</p> Signup and view all the answers

What is lateral surface area?

<p>The sum of the areas of all of the lateral faces of a solid.</p> Signup and view all the answers

What is pi?

<p>The ratio of the circumference of a circle to its diameter (approx. 3.14 or 22/7).</p> Signup and view all the answers

What is a radius?

<p>A straight line from the center to the circumference of a circle or sphere.</p> Signup and view all the answers

What is a regular pyramid?

<p>A pyramid whose base is a regular polygon and whose lateral faces are congruent isosceles triangles.</p> Signup and view all the answers

What is a semicircle?

<p>Half of a circle.</p> Signup and view all the answers

What is slant height?

<p>The height of each lateral face.</p> Signup and view all the answers

What is surface area?

<p>The measurement of the outer surface of an object.</p> Signup and view all the answers

What is volume?

<p>The amount of space an object takes up.</p> Signup and view all the answers

The Area of a Circle equation is A = ______

<p>πr²</p> Signup and view all the answers

The Circumference of a circle equation is C = ______

<p>2Ï€r</p> Signup and view all the answers

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Study Notes

  • Center: Point equidistant from all points on a circle.
  • Circle: Round figure defined by points at an equal distance from the center.
  • Circumference: Total distance around a circle.
  • Diameter: Line segment that runs through the center, connecting two points on the circle's boundary.
  • Radius: Line segment from the center to any point on the circumference, half of the diameter.

Geometric Figures

  • Composite Figure: Formed by combining simpler geometric shapes.
  • Regular Pyramid: Pyramid with a base that is a regular polygon and lateral faces that are congruent isosceles triangles.

Surface and Volume Measurements

  • Lateral Face: Any face of a polyhedron that is not a base.
  • Lateral Surface Area: Total area of all lateral faces in a solid object.
  • Surface Area: Overall area covering the external surface of an object.
  • Volume: Total space contained within a solid object.

Special Terms and Formulas

  • Semicircle: Half of a circle.
  • Slant Height: Height measured from the base to the apex along the lateral face of a pyramid.
  • Pi (Ï€): Mathematical constant representing the ratio of circumference to diameter, approximately 3.14 or expressed as 22/7.

Formulas

  • Area of a Circle: Calculated using the formula A = Ï€r², where r is the radius.
  • Circumference of a Circle: Given by the formula C = 2Ï€r, where r is the radius.

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