LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

ARC OF A CIRCLE

__Arc of a circle –__

**A continuous
part of a circle would be considered as an arc of the circle. In the figure, AB
is considered as an arc of the circle. In the figure, AB is an arc. The symbol
for an ark is ⌢. Thus AB denotes the arc AB.**

__Circumstances of a circle –__

**The length of the boundary of any circle
will be called or considered as the circumference of the circle.**

__Semi-Circle –__

**A semicircle is half a circle formed
when a circle is cut along a diameter. In the figure, arcs PRQ and PSQ are two
semicircles.**

__Minor & Major Arcs of a Circle –__

**When P & Q are two points on a
circle not at the ends of a diameter, the smaller part of the circle from P
& Q is called the minor arc and the
largest part from P & Q is called the major arc.**

__The Angle Subtended by an Arc –__

**In the figure, A is a point on a circle
that has its centre at O. PQ is an arc of the circle. Then ∠PAQ is the angle subtended by PQ at point A
of the circle. the ∠PAQ is the angle subtended by PQ at the centre ‘O’ of the
circle.**

__Central
Angle –__

**The angle subtended by any arc of a circle at the centre of the circle will be
called or considered as a central angle on the arc. In the figure, ∠POQ, ∠QOR, and ∠POR are all central angles.**