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Mathematics : Trigonometric Functions

Short Answer Type

191.

Find, in degree measure, the angle subtended at the centre of a circle of radius 3 cm by an arc of length 1 cm.

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192.

In a circle of 5 cm radius, what is the length of the arc which subtends an angle of
$space space 33 degree space 15 apostrophe$ at the centre?

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193.

A horse is tied to a post by a rope. If the horse moves along a circular path always keeping the rope tight and describes 88 metres when it has traced out $<pre>uncaught exception: mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56 #0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre>$ at the centre, find the length of the rope.

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194.

A rail road curve is to be laid out on a circle. What radius should be used if the track is to change direction by $space space 25 degree$ angle at the centre in a distance of 40 metres ? $space space space space space space open parentheses Use space straight pi equals 22 over 7 close parentheses$

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195.

The arc of a circle of radius 21 cm subtends an angle of

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at the centre. Find the length of the arc.

open parentheses Take space straight pi space equals space 22 over 7 close parentheses

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196.

The angles of a triangle are in A.P. and the least angle is $30 degree$ . Find the greatest angle in radian measure.

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197. The angles of a triangle are in A.P. The difference between the largest and the smallest angle is equal to 80°. Find the three angles in radian measure.

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198.

The angles of a quadrilateral are in A.P. and the greatest angle is double the least. Express the angles in radians.

[Hint : ∠A = (a – 3d)°, ∠B = (a– d)°, ∠C = (a + d)° and
D = (a + 3d)° ; ∠A + ∠B + ∠C + ∠D = 360° ; etc.]

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199. Find the angle in radian through which a pendulum swings if its length is 75 cm and the tip describes an arc of length.

(i) 10 cm (ii) 15 cm. (iii) 21 cm

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200. In a circle of diameter 40 cm, the length of a chord is 20 cm. Find the length of minor arc of the chord.

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