Circle Class-8 RS Aggarwal ICSE Maths Goyal Brothers

Circle Class-8 RS Aggarwal ICSE Maths Goyal Brothers Prakashan Solutions Chapter-21. We provide step by step Solutions of Exercise / lesson-21 Circle for ICSE Class-8  RS  Aggarwal Mathematics.

Our Solutions contain all type Questions of Exe-21 with Notes to develop skill and confidence. Visit official Website CISCE for detail information about ICSE Board Class-8 Mathematics.

Circle Class-8 RS Aggarwal ICSE Maths Goyal Brothers Prakashan Solutions Chapter-21


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Notes on Circle

EXE-21 ,


Notes on Circle

. A circle is the locus of the points drawn at an equidistant from the centre. The distance from the center of the circle to the outer line is its radius. Diameter is the line which divides the circle into two equal parts and is also equal to twice of the radius.

A circle is a basic 2D shape which is measured in terms of its radius. The circles divide the plane into two regions such as interior and exterior regions

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.

Radius of Circle (r)

A line segment connecting the centre of a circle to any point on the circle itself “. The radius of the circle is denoted by “R” or “r”

Diameter (d) of Circle

A line segment having both the endpoints on the circle. It is twice the length of radius i.e. d = 2r. From the diameter, the radius of the circle formula is obtained as r= d/2

Circle Formulas

Circumference (C) The circumference of a circle is defined as thedistance 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

  C = πd = 2 π r

Where, π = 3.1415

 

Area (A)

The Area of a circle is the amount of space occupied by the circle.The circle formula to find the area is given by

Formulas for Area of a circle = πr2

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.

EXE-21 , Circle Class-8 RS Aggarwal ICSE Maths Goyal Brothers Prakashan Solutions Chapter-21

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