OP Malhotra Notes on Circle Circumference and Area Class-9 S.Chand ICSE Maths 2026-27. We Provide Step by Step Notes on Circumference, Area with Chapter Test Solution of S Chand OP Malhotra Maths . Visit official Website CISCE for detail information about ICSE Board Class-9.
OP Malhotra Notes on Circle Circumference and Area Class-9 S.Chand ICSE Maths
Circle Definition
A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. Every line that passes through the circle forms the line of reflection symmetry
- Arc – It is basically the connected curve of a circle
- Sector – A region bounded by two radii and an arc.
- Segment- A region bounded by a chord and an arc lying between the chord’s endpoints. It is to be noted that segments do not contain the centre.
- Centre – It is the midpoint of a circle.
- Chord- A line segment whose endpoints lie on the circle
- Diameter- A line segment having both the endpoints on the circle
- Radius- A line segment connecting the centre of a circle to any point on the circle itself.
- Secant- A straight line cutting the circle at two points. It is also called as an extended chord.
- Tangent- A coplanar straight line touching the circle at a single point.
Circle Formulas for Circumference
| Circumference (C) | The circumference of a circle is defined as the distance around the circle. The word ‘perimeter’ is also sometimes used, although this usually refers to the distance around polygons, figures made up of the straight line segment. A circle circumference formula is given by
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C = πd = 2 π r Where, π = 3.1415 |
Practice Questions on Circle Circumference :- Exercise-17(a)
Properties of Circles
Here are some basic properties of circles.
- The outer line of a circle is at equidistant from the center.
- The diameter of the circle divides it into two equal parts
- Circles which have equal radii are congruent to each other.
- Circles which are different in size or having different radii are similar.
- The diameter of the circle is the largest chord and is double of the radius.
Circle Formulas for Area
| Area (A) | Area of a circle is the amount of space occupied by the circle. The circle formula to find the area is given by
Area of a circle = πr2 |
Practice Questions on Circle Area :- Exercise-17(b)
Some More Points On Circle
Common Sectors
The Quadrant and Semicircle are two special types of Sector:
Quarter of a circle is called a Quadrant.
Half a circle is called a Semicircle.
Lines
A line that “just touches” the circle as it passes by is called a Tangent.
>Line that cuts the circle at two points is called a Secant.
>>A line segment that goes from one point to another on the circle’s circumference is called a Chord</b>.
>If it passes through the centre it is called a Diameter.
And a part of the circumference is called an
Secant of circle :
A line that intersects a circle at two points then it is called Secant of circle.
In this chapter, we study all the topics on Circle Circumference and Area like Area, Circumference, Lines, Segments and Secants and do some practice questions also. Here we solve extra practice questions on this chapter for better understanding.
For extra practice questions on Circle Circumference and Area :- Chapter Test
:- End of Notes on Circle Circumference and Area OP Malhotra S Chand Solutions :–
Return to :– OP Malhotra S Chand Solutions for ICSE Class-9 Maths
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