
In a circle of radius 9 cms, an arc of length
2 cms subtends angle 'q^{c}
' at the centre. Find 'q' in degrees
?
Ans : 400/p .

The area of a circle is 64p
sq. cms. Find the length of its arc subtending an angle of 60^{0}
at the centre. Also find the area of the corresponding sector
?
Ans : 8p /3 cm , 32p/3
sq. cms.

A wire of length 10 cms is bent so as to form
an arc of a circle of radius 4 cms. What is the angle subtended
at the center in degrees ?
Ans : 450^{0}/p

How many degrees are there in a central angle
subtended by an arc of length equal to the diameter of the circle
? Also find the area of the corresponding sector?
Ans :
r^{2}sq. units.

Two concentric circles with centre 'O'. Two
radii 6 cms and 12 cms are drawn. A straight line OX is drawn
through their centres cuts the circles at A and A'. This line
is rotated through 30^{0} and cuts the circles at B
and B' on the final position. Find the perimeter and area of
the portion between the circles and the line ?
Ans : 12.5 ( p  2) sq. cms.

A governor of a gas engine (fig) is in the
form of two arms pivoted together at A. When the
engine is at rest the angle between the arms is 220, but when
running at 10.9 cms from the ball centre to the pivot. Find
the distance between the ball centres of the arms when the engine
is (a) running (b) idle.
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Index
1.1 Angles (Radians & Degrees)
1.2 Arc Length & Area of the circle
Supplementary Problems
Chapter 2
