If in two circles, arcs of the same length subtend angles 60° and 75° at the
centre, find the ratio of their radii.
In a circle of diameter 40 cm, the length of a chord is 20 cm. Find the length of
minor arc of the chord.
Find the degree measure of the angle subtended at the centre of a circle of
radius 100 cm by an arc of length 22 cm (Use
22
π
7
= ).
A wheel makes 360 revolutions in one minute. Through how many radians does
it turn in one second?
Find the degree measures corresponding to the following radian measures
(Use
22
π
7
= ).
(i)
11
16 (ii) – 4 (iii)
5π
3
(iv)
7π
6
Find the radian measures corresponding to the following degree measures:
(i) 25° (ii) – 47°30′ (iii) 240° (iv) 520°
If the arcs of the same lengths in two circles subtend angles 65°and 110°
at the centre, find the ratio of their radii.
The minute hand of a watch is 1.5 cm long. How far does its tip move in
40 minutes? (Use π = 3.14)
Find the radius of the circle in which a central angle of 60° intercepts an
arc of length 37.4 cm (use
22
π
7
= ).
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