Home
Class 10
MATHS
Find the area of the segment AYB of circ...

Find the area of the segment AYB of circle, if radius of the circle centered at O is 21 cm and `/_A O B\ =\ 120^o`

Text Solution

Verified by Experts

Given angle of arc =`120^@`
radius of circle = `21 `cm
Area of circle = `pi*r^2`
=`3.14*21*21`
=`1386 cm^2`
Area of Arc= (angle of arc/ 360)*area ofcircle=`(120/360)*1386`
=`1386/3`
=`462 cm^2`
Area of triangle = `a*b*sinx / 2` =`190.96 cm^2`
Area of segment = area of arc - area of triangle
=`462 -190.96`
=`271.04 cm^2`
Promotional Banner

Topper's Solved these Questions

  • AREAS RELATED TO CIRCLES

    NCERT|Exercise EXERCISE 12.1|5 Videos

  • ARITHMETIC PROGRESSIONS

    NCERT|Exercise Exercise 5.3|20 Videos

Similar Questions

Explore conceptually related problems

Find the area of the sector of a circle of angle 120^(@) , if the radius of the circle is 21 cm.

Find the area of the segment shown in Figure, if radius of the circle is 21 cm and angle AOB = 120^(@) ( Use pi = (22)/(7) )

arcMN is the arc of the circle with center O if

Find the area of the minor segment of a circle of radius 21 cm, when the angle of the corresponding sector is 120^(@) .

Find the area of the segment of a circle,given that the angle of the sector is 120o and the radius of the circle is 21cm. (Take pi=22/7)

If the area of a sector of a circle is 7/(20) of the area of the circle, then the sector angle is equal to (a) 110o (b) 130o (c) 100o (d) 126o

Find the area of a segment of a circle; given that the angle of the sector is 120^(^^)@ and the radius of the circle is 21cm.

If the area of a sector of a circle is 5/(18) of the area of the circle, then the sector angle is equal to (a) 60o (b) 90o (c) 100o (d) 120o