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Using a protractor, draw each of the following angles.

60°

130°

300°

430°

-40°

-220°

-310°

-400°

Express each of the following angles in radians

36°

120°

225°

330°

400°

7°30.’

-270°

-22°30’

Express each of the following angles in degrees.

(i)

(ii)

(iii)

(iv) -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.

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

Find the radius of a circle in which a central angle of 45^{0} intercepts an arc of length 33 cm. (Take )

Find the length of an arc of a circle of radius 14 cm which subtends an angle of 36^{0} at the centre

If the arcs of the same length in two circles subtend angles 75^{0} and 120^{0} at the centre, find the ratio of their radii

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.

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.

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

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

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

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?

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.

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