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# circles

## by anant agarwal, student at amity on Jun 23, 2011

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## circlesPresentation Transcript

• 1
FEATURING TOPICS:
• CIRCLE
• AREA OF CIRCLE
• DIAMETER OF CIRCLE
• CIRCUMFERENCE OF A CIRCLE
• CHORD OF CIRICLE
• TANGENT OF A CIRICLE
• SEGMENT OF A CIRLCE
• SECANT OF A CIRCLE
• 2
CIRCLE
A circle is a simple shape consisting of those points in a plane which are at the same distance from a given point called the centre.
• 3
The common distance of the points of a circle from its center is called radius.
• 4
• DIAMETER
The diameter is a line segment that connects two points on the circle and goes through the center of the circle.  It is always twice as long as the radius.
• 5
• CHORD
A chord is any line segment whose endpoints are at any two points on the circle and it doesn’t pass through the centre.
• 6
TANGENT
The Tangent is a line which touches the circumference at only one point. A tangent is always perpendicular to the radius.
• 7
• SECANT
A secant is an extended chord: a straight line cutting the circle at two points.
• 8
• SEGMENT
A segment is a region bounded by a chord and an arc lying between the chord's endpoints
• 9
CIRCUMFERENCE OF A CIRCLE
CircumferenceThe circumference of a circle is merely the boundary of the circle or rather its perimeter. It’s defined as: C = 2 ×  π × r
where: C = Circumference, r = radius, and  π = 3.1415 ....
• 10
SECTOR OF A CIRCLE
A circular sector or circle sector, is the portion of a circle enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector. Its formula is: Converting the central angle into degrees gives:
x/360.TT r2
• 11
AREA OF A CIRCLE
The area of a circle (the region occupied by a circle) is π r2 when the circle has radius r. Here the symbol π (Greek letter pi) denotes the constant ratio of the circumference of a circle to its diameter.
• 12
SOME FORMULAS RELATED TO CIRCLE
• Diameter = 2 x radius of circle
• Circumference of Circle =  2 π  x radius    where  π =  = 3.141592...
• Area of Circle: area = π r2
• Length of a Circular Arc: (with central angle )    if the angle  is in degrees, then length =  x (π/180) x r
• Area of Circle Sector: (with central angle )    if the angle  is in degrees, then area = (/360) π r2
• 13
THANK YOU FOR LEAFING THROUGH OUR PRESENTATION
• 14
CREDITS
ANANT AGARWAL X-B
PRANJAL SHARMA X-B
RAJ KISHORE SINGH X-B
ASHISH SINGH X-B