Louisiana flagLouisiana: Circles Math Standards

4 standards · 2 domains

UNDERSTAND AND APPLY THEOREMS ABOUT CIRCLES.

  • GM:G-C.A.1 Prove that all circles are similar.
  • GM:G-C.A.2 Identify and describe relationships among inscribed angles, radii, and chords, including the following: the relationship that exists between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; and a radius of a circle is perpendicular to the tangent where the radius intersects the circle.
  • GM:G-C.A.3 Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.

FIND ARC LENGTHS AND AREAS OF SECTORS OF CIRCLES.

  • GM:G-C.B.5 Use similarity to determine that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.

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