Class 11th Mathematics
Measurement of angle [Module 1]
Que1. Convert
the following in to radian :
a) 60o b) 20o30’ c) 62o30’ d) 5o37’30’’ e) 520o
Que2. Convert the folloing in to Degree :
a) 2 radian b) 22 radian c) `\left(\frac{11}{16}\right)` d) –3 radian e) 6 radian
Que3. The
radius of a circle is 40 cm. Find the angle subtend by an arc of 22 cm at the
centre of circle in degrees.
Que4. The
length of minute hand of a clock is 35 cm. What distance will its tip cover in
12 minutes?
Que5. The large hand
of a clock is 42 cm long. How much distance does its extremity move in 20
minutes?
Que6. Find the
angle between the large hand and small hand of a clock at time 8:20.
Que7. Find the
radius of a circle in which an arc of 37.4 cm subtends an angle of 60° at the centre.
Que8. If the
arcs of same length in two circles subtends 30° and 45° angles respectively at
the centre of two given circles. Find the ratio of their radii.
Que9. The angles of a triangle are in A.P. The ratio
of the smallest angle in grades and largest angle in radian is `40:\pi` Find all angles
of the triangle in degrees.
Que10. A wheel
makes 180 resolutions in one minute. Through how many radius does it turn in 1
sec ?
Que11. A wheel rotates
making 20 revolutions per second. If the radius of the wheel is 35 cm, what
linear distance does a point of its rim travel in three minutes?
Que13. The
angles of a triangle are in A.P. The ratio of the number of degrees in the
least angle to the number of radians in the largest angle is `60:\pi` . Find all
angles of triangle in degrees.
Que14. The distance between earth and moon is 360000
km. The diameter of the moon subtends an angle 31' at the eye of a person on
the earth. Find the diameter of the moon.
Que15. A driver moves at a speed of 36 km/hr in a
circle of radius 200 m. Find the angle in degree moved by the driver in 6 sec.
Que16. The interior angles of a polygon are in A.P.
The smallest angle is `\left(\frac{2\pi}3\right)` difference is
5°. Find the number of sides in the polygon.
`\left(\frac{11}{16}\right)`
