40 POINTS I WILL AWARD BRAINLIEST
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Answer:
c ≈ 9.1 m
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
c² = 4.1² + 8.1² = 16.81 + 65.61 = 82.42 ( take square root of both sides )
c = ≈ 9.1 m ( to the nearest tenth )
Let r be a radius of a given circle and α be an angle, that corresponds to a sector.
The circle area is
and denote the sector area as 
.
Then
(the ratio between area is the same as the ratio between coresponding angles).
.
The circle area is
Then