English

Find the degree measure corresponding to the following radian measure (use π=227) 1116

Advertisements
Advertisements

Question

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

`11/16`

Sum
Advertisements

Solution

π radian = `22/7` radian = 180°

`11/16 "radian" =180/22xx7 xx 11/16 "degrees"`

= `315/8 "degrees" = 39 3/8` degrees

= 39° `(3/8xx60)`

= 39° 22`(1/2xx60)`

= 39° 22' 30"

shaalaa.com
  Is there an error in this question or solution?
Chapter 3: Trigonometric Functions - EXERCISE 3.1 [Page 48]

APPEARS IN

NCERT Mathematics [English] Class 11
Chapter 3 Trigonometric Functions
EXERCISE 3.1 | Q 2. (i) | Page 48

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Find the radian measure corresponding to the following degree measure:

25°


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

`(5pi)/3`


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


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


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

10 cm


Find the degree measure corresponding to the following radian measure:
\[\frac{9\pi}{5}\]


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


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


Find the degree measure corresponding to the following radian measure: 
 1c


Find the radian measure corresponding to the following degree measure:
300°


Find the radian measure corresponding to the following degree measure: 35°


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


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


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


Let the angles of the quadrilateral be \[\left( a - 3d \right)^\circ, \left( a - d \right)^\circ, \left( a + d \right)^\circ \text{ and }\left( a + 3d \right)^\circ\]
We know: \[a - 3d + a - d + a + d + a - 2d = 360\]
\[ \Rightarrow 4a = 360\]
\[ \Rightarrow a = 90\]
We have:
Greatest angle = 120°
Now,
\[a + 3d = 120\]
\[ \Rightarrow 90 + 3d = 120\]
\[ \Rightarrow 3d = 30\]
\[ \Rightarrow d = 10\]
Hence,
\[\left( a - 3d \right)^\circ, \left( a - d \right)^\circ, \left( a + d \right)^\circ\text{ and }\left( a + 3d \right)^\circ\] are

\[60^\circ, 80^\circ, 100^\circ\text{ and }120^\circ\], respectively.
Angles of the quadrilateral in radians =
\[\left( 60 \times \frac{\pi}{180} \right), \left( 80 \times \frac{\pi}{180} \right) , \left( 100 \times \frac{\pi}{180} \right) \text{ and }\left( 120 \times \frac{\pi}{180} \right)\]
\[\frac{\pi}{3}, \frac{4\pi}{9}, \frac{5\pi}{9}\text{ and } \frac{2\pi}{3}\]
 

 


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.


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 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.

 

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


At 3:40, the hour and minute hands of a clock are inclined at


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


If OP makes 4 revolutions in one second, the angular velocity in radians per second is


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.


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


“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 ______.


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`


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

One value of θ which satisfies the equation sin4θ - 2sin2θ - 1 lies between 0 and 2π.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×