RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 14. Measurement of Angles

Subject: Maths - Class 11th

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Exercise 14

1 A

Using a protractor, draw each of the following angles.

60°
1 B

Using a protractor, draw each of the following angles.

130°
1 C

Using a protractor, draw each of the following angles.

300°
1 D

Using a protractor, draw each of the following angles.

430°
1 E

Using a protractor, draw each of the following angles.

-40°
1 F

Using a protractor, draw each of the following angles.

-220°
1 G

Using a protractor, draw each of the following angles.

-310°
1

Using a protractor, draw each of the following angles.

-400°
1

Express each of the following angles in radians

36°
2 A

Express each of the following angles in radians

120°
2 C

Express each of the following angles in radians

225°
2 D

Express each of the following angles in radians

330°
2 E

Express each of the following angles in radians

400°
2

Express each of the following angles in radians

7°30.’
2

Express each of the following angles in radians

-270°
2

Express each of the following angles in radians

-22°30’
3

Express each of the following angles in degrees.

(i)


(ii)


(iii)


(iv) -4
4

The angles of a triangle are in AP, and the greatest angle is double the least. Find all the angles in degrees and radians.
5

The difference between the two acute angles of a right triangle is .
6

Find the radius of a circle in which a central angle of 450 intercepts an arc of length 33 cm. (Take )
7

Find the length of an arc of a circle of radius 14 cm which subtends an angle of 360 at the centre
8

If the arcs of the same length in two circles subtend angles 750 and 1200 at the centre, find the ratio of their radii
9

Find the degree measure of the angle subtended at the centre of a circle of diameter 60 cm by an arc of length 16.5 cm.
10

In a circle of diameter 30 cm, the length of a chord is 15 cm. Find the length of the minor arc of the chord.
11

Find the angle in radians as well as in degrees through which a pendulum swings if its length is 45 cm and its tip describes an arc of length 11 cm
12

The large hand of a clock Is 42 cm long. How many centimetres does its extremity move in 20 minutes?
13

A wheel makes 180 revolutions in 1 minute. Through how many radians does it turn in 1 second?
14

A train is moving on a circular curve of radius 1500 m at the rate of 66 km per hour. Through what angle has it turned in 10 seconds?
15

A wire of length 121 cm is bent so as to lie along the arc of a circle of radius 180 cm. Find in degrees; the angle subtended at the centre by the arc.
16

The angles of a quadrilateral are in AP, and the greatest angle is double the least. Express the least angle in radians.