Find the perimeter of the sector. (Give your answers in terms of $π$ )

(16 + \frac{16 π}{9})

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(18 + \frac{15 π}{9})

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(18 + \frac{16 π}{9})

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None of these

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Solution

The correct option is A $(16 + \frac{16 π}{9})$ cm
Perimeter of the sector $= 2 r + 2 π \times r \times \frac{θ}{360}$
$= 2 \times 8 + 2 π \times 8 \times \frac{40}{360}$
$= 16 + 2 π \times 8 \times \frac{1}{9}$
$= (16 + \frac{16 π}{9})$ cm

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Find the perimeter of the sector. (Give your answers in terms of π)

The correct option is A (16+16π9) cmPerimeter of the sector =2r+2π×r×θ360 =2×8+2π×8×40360 =16+2π×8×19 =(16+16π9)cm

Find the perimeter of the sector. (Give your answers in terms of $π$ )

The correct option is A $(16 + \frac{16 π}{9})$ cm
Perimeter of the sector $= 2 r + 2 π \times r \times \frac{θ}{360}$
$= 2 \times 8 + 2 π \times 8 \times \frac{40}{360}$
$= 16 + 2 π \times 8 \times \frac{1}{9}$
$= (16 + \frac{16 π}{9})$ cm