Advertisement Remove all ads

If Ab is a Chord of Length 5 √ 3 Cm of a Circle with Centre O and Radius 5 Cm, Then Area of Sector Oab is - Mathematics

MCQ

If AB is a chord of length \[5\sqrt{3}\] cm of a circle with centre O and radius 5 cm, then area of sector OAB is 

Options

  • \[\frac{3\pi}{8}c m^2 \] 

  • \[\frac{8\pi}{3}c m^2\]

  • \[25 \pi cm^2\]

  • \[\frac{25\pi}{3}c m^2\]

Advertisement Remove all ads

Solution

We have to find the area of the sector OAB. 

We have, 

`AM=(5sqrt3)/2`

So, 

sin` ∠ AOM=(5sqrt3)/(2(5))`

Hence, 

`∠ AOM=60°`

Therefore area of the sector, 

`=1/2r^2θ`

`=1/2 (25)(2pi/3)`

`=(25pi)/3 cm^2`

 

  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

RD Sharma Class 10 Maths
Chapter 13 Areas Related to Circles
Q 27 | Page 71
Advertisement Remove all ads

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×