Circle
Maharashtra Board · Class 9 · Mathematics
Quick revision notes for Circle — Maharashtra Board Class 9 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
Basic Concepts of Circle
- A circle is the set of all points in a plane that are equidistant from a fixed point called the center
- The fixed distance from center to any point on the circle is called radius
- A chord is a line segment joining any two points on the circle
Properties of Chords
- The perpendicular from the center of a circle to a chord bisects the chord
- Congruent chords of a circle are equidistant from the center
- Chords equidistant from the center are congruent
Incircle of a Triangle
- The incircle touches all three sides of the triangle from inside
- The center of the incircle is called the incenter
- The incenter is the point of concurrency of angle bisectors
Circumcircle of a Triangle
- The circumcircle passes through all three vertices of the triangle
- The center of the circumcircle is called the circumcenter
- The circumcenter is the point of concurrency of perpendicular bisectors of sides
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