Question

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

a) 50 cm2 b) 42cm2 c) 52cm2​

Answer 1

Answer:

Step-by-step eLet 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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