मराठी

Find the angle in radian through which a pendulum swings if its length is 75 cm and the tip describes an arc of length 21 cm

Advertisements
Advertisements

प्रश्न

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

21 cm

बेरीज
Advertisements

उत्तर

We know:
Radius = 75 cm
Length of the arc = 21 cm
Now,

\[\theta = \frac{\text{Arc}}{\text{Radius}}\]

\[ = \frac{21}{75}\]

\[ = \frac{7}{25}\text{ radian}\]

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Trigonometric Functions - EXERCISE 3.1 [पृष्ठ ४९]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 11
पाठ 3 Trigonometric Functions
EXERCISE 3.1 | Q 7. (iii) | पृष्ठ ४९
आर.डी. शर्मा Mathematics [English] Class 11
पाठ 4 Measurement of Angles
Exercise 4.1 | Q 14.3 | पृष्ठ १५

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Find the radian measure corresponding to the following degree measure:

25°


Find the radian measure corresponding to the following degree measure:

520°


Find the degree measure corresponding to the following radian measure `(use  pi = 22/7)`

`11/16`


Find the degree measure corresponding to the following radian measure (Use `pi = 22/7`)

-4


Find the degree measure corresponding to the following radian measure (use `pi= 22/7`).

`(7pi)/6`


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 `pi = 22/7`)


If in two circles, arcs of the same length subtend angles 60° and 75° at the centre, find the ratio of their radii.


Find the degree measure corresponding to the following radian measure:
\[- \frac{5\pi}{6}\]


Find the degree measure corresponding to the following radian measure: 
(−3)c


Find the degree measure corresponding to the following radian measure: 
 11c


Find the radian measure corresponding to the following degree measure: 135°


Find the radian measure corresponding to the following degree measure: 125° 30'


The difference between the two acute angles of a right-angled triangle is \[\frac{2\pi}{5}\] radians. Express the angles in degrees.

 

 


One angle of a triangle \[\frac{2}{3}\] x grades and another is \[\frac{3}{2}\] x degrees while the third is \[\frac{\pi x}{75}\] radians. Express all the angles in degrees.


Find the magnitude, in radians and degrees, of the interior angle of a regular octagon.


Find the magnitude, in radians and degrees, of the interior angle of a regular heptagon.


The angle in one regular polygon is to that in another as 3 : 2 and the number of sides in first is twice that in the second. Determine the number of sides of two polygons.

 

The angles of a triangle are in A.P. such that the greatest is 5 times the least. Find the angles in radians.


The number of sides of two regular polygons are as 5 : 4 and the difference between their angles is 9°. Find the number of sides of the polygons.

 

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 25° in a distance of 40 metres?

 

Find the length which at a distance of 5280 m will subtend an angle of 1' at the eye.

 

A wheel makes 360 revolutions per minute. Through how many radians does it turn in 1 second?

 

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'.


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.


If the angles of a triangle are in A.P., then the measures of one of the angles in radians is


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


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

 

Find the value of `sqrt(3)` cosec 20° – sec 20°


Find the value of tan 9° – tan 27° – tan 63° + tan 81°


“The inequality `2^sintheta + 2^costheta ≥ 2^(1/sqrt(2))` holds for all real values of θ” 


The value of cos1° cos2° cos3° ... cos179° is ______.


Which of the following is correct?

[Hint: 1 radian = `180^circ/pi = 57^circ30^'` approx]


State whether the statement is True or False? Also give justification.

The equality sinA + sin2A + sin3A = 3 holds for some real value of A.


State whether the statement is True or False? Also give justification.

`cos  (2pi)/15 cos  (4pi)/15 cos  (8pi)/15 cos  (16pi)/15 = 1/16`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×