Find the area of the sector if perimeter is 25 cm and radius 8 cm
Answers
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
......Hope this helps you.....
Answer:
Step-by-step explanation:
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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