SAT Math / Geometry

Circles

Part of the full libraryOpens January 2, 2027 · $97 for a year
What’s included
Pythagorean theoremThe rule that in a right triangle, the squares of the two shorter sides add up to the square of the longest side: a² + b² = c².

You’ll leave with these skills

  1. Find a circle’s circumference and area from its radius or diameterHalve the diameter to get the radius, then put the radius into the circumference and area formulas.
  2. Read a circle’s center and radius from its equationFirst write the circle as (x−h)²+(y−k)²=r². Its center is (h,k), and its radius is the positive square root of r². Read those values from this form, rather than from an expanded equation.
  3. Find the length of an arc or the area of a sectorPut the central angle over 360 degrees, then multiply that fraction by the circumference or the area.
  4. Find the center and radius when a circle’s equation is multiplied outComplete the square for the x-terms and the y-terms to rewrite the equation with squared parentheses that show the center and radius.

This lesson is part of the full library

207 lessons that teach every skill the SAT tests
  • 71Math
  • 40Reading
  • 24Grammar
  • 10 full-length practice tests to build test-day stamina and confidence
  • A Desmos simulator to solve math questions faster
  • A step-by-step guide to every practice test question
  • The Bluebook Simulator, so test day feels familiar
  • A drawing for every key term, so new ideas make sense at a glance

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