Exercise - 3.2

Exercise - . . Express each of the following angles in radian measure: (i) ◦ (ii) ◦ (iii) − ◦ (iv) ◦ (v) ◦ . .

Find the degree measure corresponding to the following radian measures (i) π (ii) π (iii) π (iv) π (v) π . . What must be the radius of a circular running path, around which an athlete must run times in order to describe km ? .

In a circle of diameter cm , a chord is of length cm . Find the length of the minor arc of the chord. . Find the degree measure of the angle subtended at the centre of circle of radius cm by an arc of length cm .

. What is the length of the arc intercepted by a central angle of measure ◦ in a circle of radius ft ? . If in two circles, arcs of the same length subtend angles ◦ and ◦ at the centre, find the ratio of their radii.

Trigonometry . The perimeter of a certain sector of a circle is equal to the length of the arc of a semi-circle having the same radius. Express the angle of the sector in degrees, minutes and seconds. .

An airplane propeller rotates times per minute. Find the number of degrees that a point on the edge of the propeller will rotate in second. . A train is moving on a circular track of m radius at the rate of km/hr .

What angle will it turn in seconds? . A circular metallic plate of radius cm and thickness mm is melted and molded into a pie (a sector of the circle with thickness) of radius cm and thickness mm . Find the angle of the sector.