In this article you will find out the Theorem of Class 10 from the Chapter 10 Circle. We hope that this will help you to gain extra marks in your examination.
Some Important points about circle
A circle is a geometric shape that is defined as a closed curve in which every point on the curve is equidistant from a single fixed point within the shape, called the center.
The distance between the center and any point on the circumference of the circle is known as the radius. A circle is characterized by its radius, diameter, circumference, and area.
The radius of a circle is the distance from the center to any point on the circumference.
The diameter is a straight line passing through the center and having endpoints on the circumference, and it is equal to twice the radius.
The circumference is the total length of the circle, and it is equal to π (pi) times the diameter, or approximately 3.14159 times the diameter.
The area of a circle is the amount of space enclosed by the circumference, and it is calculated as π times the square of the radius, or approximately 3.14159 times the square of the radius. Circles are used in various mathematical, scientific, and real-world applications, and they have unique properties and relationships with other shapes in geometry.
Circle Theorems and Proofs Class 10
Theorem 10.1 The tangent at any point of a circle is perpendicular to the radius through the point of contact.
∴ OP ⊥ XY