Question

if A is the centre of the circle. L PAR=30°, AP= 7.5, find the area of the segment PQR (π= 3.14)

Answer 1

As we know that  Angle (in radians) =  $\frac{Length of arc}{Radius of Circle}$  

Angle in radians = 30° x $\frac{[tex]\pi$}{180°}[/tex] =

=>$\frac{\pi}{6}$  =  $\frac{7.5}{Radius}$

=>Radius = $\frac{45}{\pi}$

Now area of segment of angle 'x' (in radians)

=  $\frac{(radius)^{2} }{2}$ x 'x'

=  $\frac{(\frac{45}{\pi})^{2}}{2}$ x $\frac{\pi }{6}$

=  $\frac{675}{4\pi}$

Putting $\pi$ = 3.14

Area = 53.715 square units

Answer 2

Answer:

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