Circle is a 2 dimensional figure where all points lie on the circumference and are equidistant from the centre

Circle in 8th Standard Maths

Understanding the concept of a circle is essential in 8th standard mathematics. A circle is a closed curve in which all points are equidistant from a fixed point called the center. Here is a detailed explanation of circles in 8th standard maths:

Definition of a Circle

- A circle is a set of all points in a plane that are equidistant from a fixed point called the center.
- The distance from the center to any point on the circle is called the radius of the circle.
- The longest distance across a circle, passing through the center, is called the diameter.

Circle Properties

- The circumference of a circle is the distance around the circle and is given by the formula 2πr, where r is the radius.
- The area of a circle is given by the formula πr^2, where r is the radius.
- The diameter of a circle is twice the radius, so the diameter is 2r.
- Circles are symmetrical, meaning any line passing through the center divides the circle into two equal halves.
- Tangents to a circle are lines that touch the circle at exactly one point.

Circle Terminologies

- Chord: A line segment joining two points on the circumference of a circle.
- Arc: A part of the circumference of a circle.
- Sector: The region of a circle enclosed by two radii and an arc.
- Segment: The region of a circle enclosed by a chord and an arc.

Understanding these properties and terminologies will help you solve problems related to circles in 8th standard maths. Practice drawing circles, calculating their circumference, area, and exploring their properties to strengthen your understanding of this fundamental geometric shape.