Length of arc of sector
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A pendulum swings through an angle of 30∘ and describes an arc 8.8 cm in length. Find the length of pendulum in cm.
14.5
15.1
17.3
16.8
On a circle of radius , what angle would subtend an arc of length ?
Figure depicts a racing track whose left and right ends are semi-circular. The inner width of the track is 60 m and they are each 106 m long. If the track is 10 m wide, find the length of the track around the inner edge.
(round off to nearest whole number)
301
400
310
320
- Maximum length of the chord is 3 times radius.
- Shortest distance of the chord from the centre is the perpendicular from the centre.
- Perpendicular from the centre of a circle bisects the chord.
- Angle subtended by a chord at the major segment is twice the angle subtended at the centre.
There is a circular swimming pool. There is a bob at the centre of the pool at a distance of 50π m from the pool’s wall. Shyam is standing next to the
wall and holding a thread whose other end is connected to the heavy stationary bob at the centre. Holding the thread Shyam now moves along the wall for 20
seconds and the angle between the initial and final positions of the thread is 12∘. What is Shyam’s speed in metres/minute?
1
10
5
20
Two line segments AB and CD are taken. Initially, the points A & C and B & D are coincident. The line segment CD is rotated about point D such that CD coincides with AB again, when it covers a distance of x. If the distance covered by C is y, the angle subtended by CD with respect to starting point is θ, then find the relation among x, y and θ. Assume that θ is in degrees.
x = (y×θ)360
x= (y×θ)180
y = (x×θ)260
y = (x×θ)360