हिंदी

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

Advertisements
Advertisements

प्रश्न

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

योग
Advertisements

उत्तर

Triangle OAB is an equilateral triangle ∠AOB = 60°

= `(60×π)/180 "radians"`

= `π/3` radian

Let arc AB = l

The angle made by the arc at centre O, θ = `π/3` Length of arc AB,

l = rθ = 20 × `π/3` radians

= `(20π)/3` radians

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Trigonometric Functions - Exercise 3.1 [पृष्ठ ५५]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 11
अध्याय 3 Trigonometric Functions
Exercise 3.1 | Q 5 | पृष्ठ ५५

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`)

-4


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

`(5pi)/3`


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

`(7pi)/6`


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


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:
\[- \frac{5\pi}{6}\]


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


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


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.

 

 


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.


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?

 

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


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


Find the value of tan 9° – tan 27° – tan 63° + tan 81°


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.

Sin10° is greater than cos10°


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×