Question

Perimeter of a sector of a circle of radius 8 cm is 25 metre what is the area of sector

Answer 1

Here is your answer Buddy,

Let,

L be the length of the arc of the sector,

Now, we know that,

$\textbf{ L = Perimeter - 2radius }$

So,
L = 25 - 2×8
= 25 - 16
= 9 cm.

$\textbf{Now,}$

Area of full circle of radius 8 cm is
= π$r^{2}$
= 8×8×π

$\textbf{Again}$

Circumference of the full circle = 2πr
= 2×π×8

$\textbf{So,Area of sector will be }$

$\frac {π×8×8×9}{π×2×8}$

=> 36 cm. ( by cancelling π and 8)

Hope this helps you.
Be Brainly.

Answer 2

HEY THERE!!!



Question:-

The perimeter of a sector of a circle of radius 8 cm is 25 m, what is the area of sector?


Method Of Solution:-

Let POQ be the given sector!!

Given:-

Radius (r) of circle =) 8 cm

Given:- Perimeter of sector POQ = 25 cm


Note: Perimeter = All sides adding

Now,


So, OP + OQ + Arc PQ = 25 cm

8 + 8 + Arc PQ = 25 cm

Arc PQ = 25 -16 cm

Arc PQ = 9 cm


According to the Question!!


 l = Arc length PQ = 9 cm

Therefore,

Area of sector POQ = 1/2 × r × l

=  8 x 9 / 2

= 72/ 2

= 36 cm²

Hence, Area of Sector = 36 cm²



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