हिंदी

Find the Radian Measure Corresponding to the Following Degree Measure: −300°

Advertisements
Advertisements

प्रश्न

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

Advertisements

उत्तर

We have:
\[180^\circ = \pi \text{ rad }\]
\[ \therefore 1^\circ = \frac{\pi}{180} \text{ rad }\]
\[- 300^\circ\]
\[ = - \left( 300 \times \frac{\pi}{180} \right)\]
\[ = - \frac{5\pi}{3} \text{ rad }\]

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

APPEARS IN

आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 4 Measurement of Angles
Exercise 4.1 | Q 2.5 | पृष्ठ १५

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Find the radian measure corresponding to the following degree measure:

240°


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`).

`(7pi)/6`


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

21 cm


Find the degree measure corresponding to the following radian measure:
\[\left( \frac{18\pi}{5} \right)\]


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


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


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


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


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.

 

 


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. 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.

 

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?

 

A railway train is travelling on a circular curve of 1500 metres radius at the rate of 66 km/hr. Through what angle has it turned in 10 seconds?

 

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


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

 

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.


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


The value of tan1° tan2° tan3° ... tan89° 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`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×