Question

Area of a sector of a circle of radius 16 cm is 256 cm2. Find the length of the corresponding arc of the sector.

Answer 1

length of arc is 24.
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Answer 2

Answer:

32cm

Step-by-step explanation:

Let θ be the sector angle.

Now, radius of circle, r = 16 cm

Now, area of sector of circle = 256 cm2

⇒θ/360°×πr2 = 256

⇒θ/360°×π×(16)2 = 256

⇒θ = 360°/π

Now, length of arc = θ360°×2πr

=360°/π × 1/360°  × 2 × π × 16=32 cm