1 Answer

Sebix · Answer 1 · 2023-09-01T12:53:21+0000

It is given that the sector made an angle of 90 degree at the centre and radius of circle is 13 cm.

Now if a sector makes an angle 'y' at the centre of a circle of radius 'r' then its area is given by:-

$A=(y)/(360)*\pi* r^2$

Now for the given circle we have y=90 and r=13.

So the area of the sector will be:

$\begin{gathered} A=(90)/(360)*\pi*(13)^2 \\ =(1)/(4)*(22)/(7)*169 \\ =(11*169)/(14) \\ =132.78 \\ =132.8 \end{gathered}$

So the area of sector is 132.8 cm. square.

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