हिंदी

Convert the following angles into radian: 75°30′

Advertisements
Advertisements

प्रश्न

Convert the following angles into radian:

75°30′

योग
Advertisements

उत्तर

We know that, 180° = πc

∴ 1° = `(pi/180)^"c"`

75°30′ = 75° + 30'

= `75^circ + (30/60)^circ      ...[1"'" = (1/60)^circ]`

= `75^circ + (1/2)^circ`

= `(75 + 1/2)^circ`

= `(151/2)^circ`

= `(151/2 xx pi/180)^"c"`

= `((151pi)/360)^"c"`

shaalaa.com
Measures of Angles with Various Systems
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Angle and its Measurement - EXERCISE 1.1 [पृष्ठ ८]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Arts and Science) [English] Standard 11 Maharashtra State Board
अध्याय 1 Angle and its Measurement
EXERCISE 1.1 | Q 2. (v) | पृष्ठ ८

संबंधित प्रश्न

Convert the following angles into radian:

65°30′


Convert the following angles into radian:

40° 48′


Convert the following angles in degree:

`(-5pi^"c")/3`


Convert the following angles in degree:

`(11pi^"c")/18`


Convert the following angles in degree:

`((-1)/4)^"c"`


Express the following angle in degree, minute and second:

(183.7)°


Express the following angle in degree, minute and second:

`(1/5)^"c"`


In ∆ABC, if m∠A = `(7pi^"c")/36`, m∠B = 120°, find m∠C in degree and radian.


Two angles of a triangle are `(5pi^"c")/9` and `(5pi^"c")/18`. Find the degree and radian measures of third angle.


In a right angled triangle, the acute angles are in the ratio 4:5. Find the angles of the triangle in degrees and radians.


The sum of two angles is 5πc and their difference is 60°. Find their measures in degrees.


The measures of the angles of a triangle are in A.P. and the greatest is 5 times the smallest (least). Find the angles in degrees and radian.


In a cyclic quadrilateral two adjacent angles are 40° and `pi^"c"/3`. Find the angles of the quadrilateral in degrees.


Find the degree and radian measure of exterior and interior angle of a regular pentagon.


Find the degree and radian measure of exterior and interior angle of a regular hexagon


Find the degree and radian measure of exterior and interior angle of a regular Octagon.


A pendulum of length 14 cm oscillates through an angle of 18°. Find the length of its path.


Angle between hand’s of a clock when it shows the time 9.45 is ______.


Answer the following :

Find the number of sides of a regular polygon, if each of its interior angle is `(3pi^"c")/4`.


Answer the following :

Find the radius of the circle in which central angle of 60° intercepts an arc of length 37.4 cm.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×