201.If the arcs of same lengths in two circles subtend angles 65° and 110° at the centre, find the ratio of their radii.
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202.A circular wire of radius 3 cm is cut and bent so as to lie along the circumference of a hoop whose radius is 48 cm. Find in radian measure, the angle that the wire will subtend at the centre of the hoop. Also, find the angle in degree measure.
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203.The perimeter of a certain sector of a circle is equal to half its circumference. Express the angle of the sector in degree measure.
204.The distance of earth from moon is approx. 385000 km. Find approx. diameter of the moon, it is being given that the moon subtends an angle of 31’ at an observer’s eye on earth.
Solution not provided.
Ans. 3473.1 km (approx)
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205.Find in radians, the angle between the hour hand and the minute hand at 25 minutes past eight.
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206.Express in circular measure as well as in degrees the angle of a regular polygon of 45 sides.
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207.The angles of a triangle are in A. P. The number of degrees in the least and number of radians in the greatest are as 36 : it, find angles in degrees.
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208.A railway train is travelling on a circular curve of radius 700 m at the rate of 36 km h_1 Through what angle has it turned in 220 m ?
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209.The minute hand of a watch is 1.5 m long. How far does its tip move in 40 minutes ? (Use π = 3.14)
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210.
If cos x = lies in the third quadrant, find the values of other five trigonometric functions.
Short Answer Type
lies in the third quadrant, find the values of other five trigonometric functions.
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