# RD SHARMA Solutions for Class 10 Mathematics Chapter 10: Circles

This chapter deals with circles and their various components like secant, chord, segments, tangents, etc. A tangent to a circle is a line that intersects a circle at only one point. A chord is a line having both its endpoints on the circumference of the circle. The segment of a circle is the region bounded by the chord of a circle and the intercepted arc of the circle. The segment of a circle is divided into two types: the major and the minor. A segment having an intercepted arc less than a semicircle is called the minor segment, whereas the sector with an intercepted arc greater than a semicircle is referred to as a major segment. A secant is a line that intersects a given circle at exactly two points.

Chapter 10- Circles comprises many theorems related to circles and their components. These theorems have been derived, and every step is thoroughly explained for the students to grasp every aspect of the topic.

Some important properties of a circle are also mentioned in the chapter, which is as follows:

• The tangent to a circle is perpendicular to the radius through the point of contact.
• The lengths of two tangents from an external point to a circle are equal
• In two given concentric circles, the chord of the larger circle, which touches the smaller circle, is bisected at the point of contact.

This chapter exhibits very clear derivations for the properties mentioned above. These derivations are necessary for students to understand as these concepts will be applied in numerous other topics in the following chapters and academic sessions.