हिंदी

Find the Radian Measure Corresponding to the Following Degree Measure: −56° - Mathematics

Advertisements
Advertisements

प्रश्न

Find the radian measure corresponding to the following degree measure: −56°

Advertisements

उत्तर

We have:
\[180^\circ = \pi \text{ rad }\]
\[ \therefore 1^\circ = \frac{\pi}{180} \text{ rad }\]
\[ - 56^\circ\]
\[ = - \left( 56 \times \frac{\pi}{180} \right)\]
\[ = - \frac{14\pi}{45} \text{ rad }\]

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Measurement of Angles - Exercise 4.1 [पृष्ठ १५]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 11
अध्याय 4 Measurement of Angles
Exercise 4.1 | Q 2.3 | पृष्ठ १५

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Find the radian measure corresponding to the following degree measure:

25°


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`).

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

15 cm


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


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


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


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 pentagon.


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 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?

 

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


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°


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


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


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


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


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×