Question

Area of a sector of a circle of radius 36 cm is 54 π cm2

.Find the central angle.


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Answer 1

Answer:

9.42 cm

Step-by-step explanation:

Hi,

Given Area of sector = r²∅/2 = 54π

Length of the arc of sector subtending an angle ∅ at its center is given by

l = r∅,

We know that Area of sector of a circle subtending an angle ∅ at its center

is given by

r²∅/2 = 54π

=> r∅ = 108π/r

Given radius of the circle, r = 36 cm

=> length of the arc of the sector , l is = 3π cm = 9.42 cm (approx).

Thus, the length of the corresponding arc of the sector is 9.42 cm.

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Answer 2

Answer:

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