Geometry | Senioritis

John Rhodes
June 21, 2023
Geometry

Understanding the Standard Form of the Equation of a Circle in Math

Equation of a circle (x-h)^2+(y-k)^2=r^2 The equation of a circle is given by: (x − h)² + (y − k)² = r² Where (h, k) represents the...

John Rhodes
June 21, 2023
Geometry

Discover how to determine the center of a circle using its equation: A step-by-step guide

Center of a circle (from equation) (h,k) The center of a circle can be determined from the equation of the circle. The general equation of a circle...

John Rhodes
June 21, 2023
Geometry

Understanding Central Angles and Intercepted Arcs in Geometry and Trigonometry: Explained.

The measure of the central angle of a circle is equal to the measure of… Its intercepted arc …the intercepted arc that it subtends. In other words,...

John Rhodes
June 21, 2023
Geometry

Learn How to Find the Equation of a Tangent Line in Calculus

Tangent Line a line that intersects a circle at exactly one point (forming a right angle) In calculus, a tangent line is a straight line that touches...

John Rhodes
June 21, 2023
Geometry

Tangent-Secant Theorem: Proving Equal Length Segments in Circles

If two tangent lines share a endpoint (or point of intersection) outside of a circle creating segments with the other endpoint being the points of tangency, then...

John Rhodes
June 21, 2023
Geometry

Diving into the Basics of Chords: Understanding Triads, Major, Minor, Augmented, and Diminished Chords in Western Music

Chord A segment whose endpoints are on the circle A chord is a combination of two or more notes played simultaneously, creating a harmonious or discordant sound,...

John Rhodes
June 21, 2023
Geometry

The Converse of Congruent Chords Theorem: Exploring Congruent Central Angles in a Circle.

If two chords in a circle are congruent, then their central angles are… Congruent If two chords in a circle are congruent, then their central angles are...

John Rhodes
June 21, 2023
Geometry

Congruent Arcs Imply Congruent Chords in Circles – Explained

If two arcs in a circle are congruent, then their chords are… Congruent If two arcs in a circle are congruent, then their chords are also congruent....