Area Of A Circle, math Assignment Help

Area and volume of plane figures - Area Of A Circle, math

AREA OF A CIRCLE

(1)     Area: The surface enclosed within a circle is called its area.

Area = pier2 where r = radius of the circle,

p =22/7   or 3.14

(2)     Circumference: The boundary or perimeter of a circle is called its circumference.

Circumference = 2pier.

(3)     Area of a circular track: Area of circular ring

= Area of outer circle - Area of inner circle.

= pieR2 - pr2

= pie[R2 – r2]

          Sector of a circle: AOB is a sector making an angle e at the centre O.

(1)     Area of a sector =

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(2)     Perimeter of sector = r + r +  l

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Segment of a circle: Let ACB be minor segment of a circle of radius r subtending an angle e at the centre O.

(1)     Area of a segment ACB:

= Area of sector OAB - Area of OAB

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          Area of ΔAOB

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Some basic concepts: (1) Distance moved by a wheel in 1 revolution = Circumference of the wheel.

 (2)     Number of revolutions in 1 minute

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(3)     Angle described by minute hand in 60 min = 360·

(4)     Angle described by hour hand in 24 hours = 360·

Arc of a circle: (1) If an arc AB makes an angle q° at the centre of a circle of radius r, then.

(2)     Length of arc AB =

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Major segment: Area of major segment BDAB

= (area of the circle) - (area of segment ACBA). 

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