Circles

In this concept, we learn about circles and their properties. We learn to identify the parts of a circle, such as tangents, chords, etc., and the relationships between them. We also learn about angle and segment relationships in circles, and about circles in a coordinate plane.

The concept is broken into smaller topics, which makes it easier and much more fun for students. The topics are listed below:-

Angle Relationships in Circles

In this topic, we learn theorems based on intersection of tangents, secants, and chords internal or external to a circle and solve problems based on these theorems.

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Arcs and Chords

In this topic, we learn the theorems on arcs and chords of a circle and solve problems based on them.

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Circles in the Coordinate Plane

This topic will teach us how to calculate the equation of a circle and graph a circle from an equation. We can apply these concepts to solve real world applications as well.

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Inscribed Angles

In this topic, we will learn the theorems on inscribed angles and inscribed arcs and the properties related to them.

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Lines that Intersect Circles

In this topic, we learn the basic concepts of circles, tangents, and other lines that intersect a circle.

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Sector Area and Arc Length

This topic introduces the concept of sector area and arc length. We learn to calculate arc length, area of sectors and segments in a circle.

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Segment Relationship in Circles

In this topic, we learn the theorems on segment relationships formed by intersection of chords, secants, and tangents and apply them to solve problems based on them.

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