Question

area of a sector of a circle of radius 36 cm is 54πcm^2 the length of the corresponding arc of the sector is
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Answer 1

Step-by-step explanation:

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. Hope, it helped !

Answer 2

Given area of sector of circle =54π cm²

Radius of circle=36cm

Now area of circle=πr² ×( θ / 360 )

=> 54π= θ/360 ×πr²

=> θ/360 = 54 / 36×36 …(1)

and length of arc=2πr( θ/360 )

=> L = 2π×36× 54/(36×36)

[Length of arc =3πcm].

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