Theorem 1: The perpendicular to a chord, drawn from the center of the circle, bisects the chord. Observe the following circle to understand the theorem in which OP is the perpendicular bisector of chord AB and the chord gets bisected into AP and PB.

Theorem 1: Equal chords of a circle subtend equal angles at the center. 2. Theorem 2: This is the converse of the previous theorem. It implies that if two chords subtend equal angles at the center, they are equal. 3. Theorem 3: A perpendicular dropped from the center of …

There are seven main circle theorems: Below is a summary of each circle theorem, along with a diagram. You need to remember all of these circle theorem rules and be able to describe each one in a sentence. What are circle theorems? Download …

Theorems involving chords of a circle, perpendicular bisector, congruent chords, congruent arcs, in video lessons with examples and step-by-step solutions.

How to use circle chord theorems to solve problems. In order to find missing angles or the length of a chord: Identify the key parts of the circle that are given. Apply the appropriate theorem to problem solve. Describe or create an equation to find the missing part. Find the solution.

Aug 3, 2023 · What is the chord of a circle – learn how to find its length with equation, theorems, and solved examples. Also learn the longest cord of the circle.

Circle theorem includes the concept of tangents, sectors, angles, the chord of a circle and proofs. A circle is the locus of all points in a plane which are equidistant from a fixed point. The fixed point is called the centre of the circle, and the constant distance between any point on the circle and its centre is called the radius.

Chord of circle and chord length formula is explained here. Click to know what is a chord in a circle, how to calculate chord length and chord of a circle theorems with proves and example questions.

You will learn what a chord of a circle is, theorems that involve chords, and the application of these theorems. You will explore the proof of the theorems and how to use them to solve more complex problems.

Mar 1, 2025 · There are several important theorems about chords that will help you to analyze circles better. 1. Chord Theorem #1: In the same circle or congruent circles, minor arcs are congruent if and only if their corresponding chords are congruent. In both of these pictures, B E ¯ ≅ C D ¯ and B E ^ ≅ C D ^. 2.