English

Find the Degree Measure Corresponding to the Following Radian Measure: 11c

Advertisements
Advertisements

Question

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

Advertisements

Solution

We have: 
\[\pi \text{ rad }= 180^\circ\]
\[ \therefore 1 \text{ rad }= \left( \frac{180}{\pi} \right)^\circ \]
\[ \left( 11 \right)^c = \left( \frac{180}{\pi} \times 11 \right)^\circ \]
\[ = \left( \frac{180}{22} \times 7 \times 11 \right)^\circ\]
\[ = {630}^\circ \]

shaalaa.com
  Is there an error in this question or solution?
Chapter 4: Measurement of Angles - Exercise 4.1 [Page 15]

APPEARS IN

R.D. Sharma Mathematics [English] Class 11
Chapter 4 Measurement of Angles
Exercise 4.1 | Q 1.5 | Page 15

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Find the radian measure corresponding to the following degree measure:

25°


Find the radian measure corresponding to the following degree measure:

– 47° 30'


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 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`)


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 radian measure corresponding to the following degree measure:
300°


Find the radian measure corresponding to the following degree measure: 7° 30'


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


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 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 angles of a triangle are in A.P. and the number of degrees in the least angle is to the number of degrees in the mean angle as 1 : 120. Find the angles in radians.

 

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 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'.


If D, G and R denote respectively the number of degrees, grades and radians in an angle, the 


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


The angle between the minute and hour hands of a clock at 8:30 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°


Prove that `(sec8 theta - 1)/(sec4 theta - 1) = (tan8 theta)/(tan2 theta)`


If tan θ = `(-4)/3`, then sin θ is ______.


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


The value of tan1° tan2° tan3° ... tan89° is ______.


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×