Mensuration

 

 

 

Contents

 

Parts of Circle

 

Area of Circle

 

Area of Sector & Length of Arc

 

Area of Triangle 

 

Volume of Cylinder

 

Surface Area of Cylinder

 

Volume of Cones & Pyramids

 

Surface Area of Cones & Pyramids

 

Volume of Sphere

 

Surface Area of Sphere

  

Quiz

 

 

Geometry Main Page 

Parts of Circles

Definitions

 

Centre 

It is in the centre of the circle and the distance from this point to any other point on the circumference is the same.

Radius

The distance from the centre to any point on the circle is called the radius. A diameter is twice the distance of a radius.

Circumference

The distance around a circle is its circumference. It is also the perimeter of the circle

Arc

An arc is a part of the circumference of a circle. The longer arc is called the major arc while the shorter one is called the minor arc.

Chord

A chord is a straight line joining two points on the circumference. The longest chord in a called a diameter. The diameter passed through the centre.

Sector

A sector is a region enclosed by two radii and an arc. Refer to the figure given, ROS is called the angle subtened by the arc RS at the centre O. The larger sector is called the major sector while the smaller one, a minor sector.

Segment

A segment of a circle is the region enclosed by a chord and an arc of the circle. The larger segment is the major segment while the smaller one, the minor segment.

Secant

A secant is a straight line cutting at two distinct point

Tangent

If a straight line and a circle have only one point of contact, then that line is called a tangent. A tangent is always perpendicular to the to the radius drawn to the point of contact. This property is abbreviated as tan ^ rad.