Question

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

Answer 1

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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Answer 2

Hi,



Solution:-




Given:-


Sector of circle of radius = 8 cm

Perimeter of Sector = 25 m.

So, Area of Sector = 1/2 × r × l

= 1/2 × 8 × 9

= 72 ÷ 2

= 36 cm²


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