Circle
Maharashtra Board · Class 10 · Mathematics
Quick revision notes for Circle — Maharashtra Board Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
1. Circles through given points and basic line positions
- Infinite circles pass through one point.
- Infinite circles pass through two distinct points.
- There is a unique circle through three non-collinear points.
2. Tangent properties and touching circles
- A tangent at any point of a circle is perpendicular to the radius at the point of contact.
- A line perpendicular to a radius at its point on the circle is a tangent to the circle.
- Two tangents can be drawn to a circle from a point outside the circle.
3. Arcs, central angle, and arc measure
- A secant divides a circle into two arcs.
- The arc on the same side as the centre is the major arc.
- The arc on the other side is the minor arc.
4. Inscribed angle theorem and its corollaries
- An inscribed angle has its vertex on the circle and its arms cut the circle at two other points.
- The measure of an inscribed angle is half the measure of the intercepted arc.
- Angles inscribed in the same arc are congruent.
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