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 =
(2) Perimeter of sector = r + r + l
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
Area of ΔAOB
Some basic concepts: (1) Distance moved by a wheel in 1 revolution = Circumference of the wheel.
(2) Number of revolutions in 1 minute
(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 =
Major segment: Area of major segment BDAB
= (area of the circle) - (area of segment ACBA).
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