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Find the length which at a distance of 5280 m will subtend an angle of 1' at the eye.
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A wheel makes 360 revolutions per minute. Through how many radians does it turn in 1 second?
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The radius of a circle is 30 cm. Find the length of an arc of this circle, if the length of the chord of the arc is 30 cm.
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A railway train is travelling on a circular curve of 1500 metres radius at the rate of 66 km/hr. Through what angle has it turned in 10 seconds?
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Find the distance from the eye at which a coin of 2 cm diameter should be held so as to conceal the full moon whose angular diameter is 31'.
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Find the diameter of the sun in km supposing that it subtends an angle of 32' at the eye of an observer. Given that the distance of the sun is 91 × 106 km.
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If the arcs of the same length in two circles subtend angles 65° and 110° at the centre, find the ratio of their radii.
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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.
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If D, G and R denote respectively the number of degrees, grades and radians in an angle, the
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If the angles of a triangle are in A.P., then the measures of one of the angles in radians is
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The angle between the minute and hour hands of a clock at 8:30 is
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At 3:40, the hour and minute hands of a clock are inclined at
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If the arcs of the same length in two circles subtend angles 65° and 110° at the centre, than the ratio of the radii of the circles is
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If OP makes 4 revolutions in one second, the angular velocity in radians per second is
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A circular wire of radius 7 cm is cut and bent again into an arc of a circle of radius 12 cm. The angle subtended by the arc at the centre is
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The radius of the circle whose arc of length 15 π cm makes an angle of \[\frac{3\pi}{4}\] radian at the centre is
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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 the angle in degrees which is subtended at the centre of hoop.
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Find the value of `sqrt(3)` cosec 20° – sec 20°
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If θ lies in the second quadrant, then show that `sqrt((1 - sin theta)/(1 + sin theta)) + sqrt((1 + sin theta)/(1 - sin theta))` = −2sec θ
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Find the value of tan 9° – tan 27° – tan 63° + tan 81°
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