CIRCULAR
MEASURE OF ANGLE
1.
When a pendulum of
length 50cm oscillates, it produces an arc of 16cm. The angle so formed in
degree measure is (approx)
(1) 18025’ (2)
18035’ (3)
18020’
(4) 18008’
2.
A rail road curve is
to be laid out on a circle. What radius should be used if the track is to
change direction by 250 in a distance of 40m?
(1)
91.64m (2)
90.46m (3) 89.64m (4) 93.64m
3.
Two angles of a
triangle are 
radian and
radian. The measure of the third angle in
degree(Taking 
= 
)
radian and
radian. The measure of the third angle in
degree(Taking = )
(1) 132
0 (2) 132
0 (3) 132
0 (4) 1320
0 (2) 1320 (3) 1320 (4) 1320
4.
By decreasing 150
of each angle of a triangle, the ratios of their angles are 2:3:5, The radian
measure of greatest angle is
(1) 
(2) 
(3) 
(4) 
(2) (3) (4)
5.
The angles of a
triangle are in Arithmetic progression. The ratio of the least angle in degrees
to the number of radians in the greatest angle is 60 : π. The angles in degrees
are
(1) 300,
600 , 900 (2) 350, 550, 900 (3) 400,
500, 900 (4) 400, 550 ,850
6.
In a triangle ABC, 
ABC = 750
and ACB = 
. The circular
measure of BAC is
ABC = 750
and ACB = . The circular
measure of BAC is
(1) 
radian (2) 
radian (3) 
radian (4) 
radian
radian (2) radian (3) radian (4) radian
7.
Three interior angles
of a quadrilateral are 600, 1200, 900. The
remaining angle in circular measure is given by
(1) 
(2) 
(3) 
(4) 
(2) (3) (4)
8.
An equilateral
triangle TQR is drawn inside a square PQRS. The value of the angle PTS, in
degrees, is
(1) 120 (2) 150 (3) 75 (4) 90
9.
In 
ABC, A = 300,
B = 600.
Find C in circular
measure
ABC, A = 300,
B = 600.
Find C in circular
measure
(1) 
(2) (3) 
(4)
(2) (3) (4)
10.
In circular measure,
the value of the angle 11015’ is
(1) 
(2)
(3) (4) 
(2)
(3) (4)
11.
The minute hand of a
big wall-clock is 35cm long. Taking = , length of
the arc, its extremity moves in 18 seconds is
= , length of
the arc, its extremity moves in 18 seconds is
(1) 11cm (2) 1.1cm (3)
6.6cm (4) 6cm
12.
The angle between the
hands of a clock when the time is 3:20 is
(1) 60 (2) 100 (3) 200 (4) 120
13.
Measure of each
interior angle of a regular hexagon is
(1) 1000 (2) 600 (3) 450 (4) 120
14.
If a clock started at
noon, then the angle turned by hour at 3.45 PM is
(1) 1170 (2) 1040 (3) 970 (4) 1120
0 (2) 1040 (3) 970 (4) 1120
15.
If the sum and
difference of two angles are 
radian and 360 respectively, then
the value of smaller angle in degree taking the value of as is
radian and 360 respectively, then
the value of smaller angle in degree taking the value of as is
(1) 520 (2) 600 (3) 560 (4) 480
16.
The angle between the
minute hand and hour hand of a clock when the time is 7:20 is equal to
(1) 450 (2) 900 (3) 1000 (4) 1200
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