Learn Class 10 Math - Circles

The circle is a term that has three possibilities, including the non-intersecting point, single common point, or two common points. In the single common point, the line will touch the circle, whereas the line will cut the circle in the two common points.

Components of the Circle

The circle has different components, and these components are discussed below:

• Tangent

  Tangents are lines in circles that connect one point on the circle to another point at the same time. Each point lies on a different tangent.

• Secant

  The secant of the circle has two points in common with the circle. The secant will cut the circle at two points. And it will form the chord of a circle.

• Radius

  Radius is the distance from the circle that remains constant.

• Diameter

  Basically, the diameter is the entire length that passes through a circle.

• Chord

  The line that joins any two circle points is known as a chord.

Properties of a Circle

Evaluate that the tangent of the circle is perpendicular to the radius of a circle.

It is given that AB is the tangent of the circle at point Q. O is the centre.

We have to prove that OQ ⊥ AB.

Solution:

Take a point P on AB and join it.

If point p lies in the circle, then AB will be a secant.

OP > OQ.

Learning Videos for 10th Grade Math - Circles