English

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

Question

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

Sum
Advertisements

Solution

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
  Is there an error in this question or solution?
Chapter 3: Trigonometric Functions - Exercise 3.1 [Page 55]

APPEARS IN

NCERT Mathematics [English] Class 11
Chapter 3 Trigonometric Functions
Exercise 3.1 | Q 5 | Page 55

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:

240°


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

`(5pi)/3`


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 degree measure corresponding to the following radian measure:
\[\frac{9\pi}{5}\]


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


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


Find the radian measure corresponding to the following degree measure: 7° 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 duodecagon.


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 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.

 

A wheel makes 360 revolutions per minute. Through how many radians does it turn in 1 second?

 

The radius of a circle is 30 cm. Find the length of an arc of this circle, if the length of the chord of the arc is 30 cm.


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?

 

If the arcs of the same length in two circles subtend angles 65° and 110° at the centre, find the ratio of their radii.


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


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 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 ______.


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.

One value of θ which satisfies the equation sin4θ - 2sin2θ - 1 lies between 0 and 2π.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×