Circles
14 videos
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14
Geometry - Circles: Your Complete Guide
Learn circle fundamentals: arc measure, arc length, radians, inscribed angles, and tangent lines. Master how circles connect angles, arcs, and lines.
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5
Geometry - Circle Vocabulary You Need to Know
Learn the 8 essential circle terms: radius, diameter, chord, secant, tangent, minor arc, major arc, and central angle. Master these to solve any circle problem easily.
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7
Geometry - Arc Measure and Central Angles
Learn how arc measure equals the central angle in circles. Discover how minor and major arcs relate and always sum to 360 degrees.
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4
Geometry - Solving Arc Measure Problems with Equations
Learn how to find arc measures in a circle by setting up equations where all arcs sum to 360 degrees, solving for x, and calculating the actual angle measures.
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3
Geometry - How to Find Arc Length
Learn how to calculate arc length using the central angle and circumference formula. Includes a step-by-step example with a 90-degree angle and radius of 10.
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3
Geometry - Arc Length: Worked Example
Learn how to calculate arc length using proportions with circumference and central angles. Two step-by-step examples demonstrate finding arc length and central angle.
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3
Geometry - What Are Radians?
Learn why radians exist and how they measure angles using arc length divided by radius. Understand the key relationship: π radians equals 180 degrees.
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3
Geometry - Converting Between Radians and Degrees
Learn how to convert between radians and degrees using the key relationship π radians = 180°. Includes step-by-step examples and conversion multipliers.
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3
Geometry - Arc Length with Radians
Learn how radians simplify arc length calculations using the formula s = rθ. Discover why radians make measuring distances along circular paths beautifully elegant.
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3
Geometry - Area of a Sector
Learn how to calculate sector area using the formula (θ/360) × πr². Understand sectors as fractions of a circle with a practical example using a 90-degree angle.
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4
Geometry - The Inscribed Angle Theorem
Explains the inscribed angle theorem: an inscribed angle is always half the central angle that intercepts the same arc, with examples including semicircle right angles.
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6
Geometry - Solving Inscribed Angle Problems
Learn how to find inscribed angles using the inscribed angle theorem and solve problems involving angles in circles and inscribed quadrilaterals.
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6
Geometry - Tangent Lines and Circles
Learn two key tangent line properties: tangents are perpendicular to radii at contact points, and tangents from an external point to a circle are equal in length.
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16
Geometry - Tangent Line Problems: Finding Missing Values
Learn how to find a missing angle in a circle geometry problem using tangent line properties and quadrilateral angle sums to solve for the unknown angle.