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Bilal's fishing line was on a spool with a radius of
4cm. Suddenly, a fish pulled on the line, and the spool spun 16 times before Bilal began to reel in the fish.
What is the distance the fish pulled the fishing line?
Round your answer to the nearest
cm.

cm

Bilal's fishing line was on a spool with a radius of $4 \mathrm{~cm}$ . Suddenly, a fish pulled on the line, and the spool spun $16$ times before Bilal began to reel in the fish. $\newline$ What is the distance the fish pulled the fishing line? $\newline$ Round your answer to the nearest $\mathrm{cm}$ . $\newline$ $\square$ $\mathrm{cm}$

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Pythagorean theorem

Full solution

Q. Bilal's fishing line was on a spool with a radius of

4 \mathrm{~cm}

. Suddenly, a fish pulled on the line, and the spool spun

16

times before Bilal began to reel in the fish.

\newline

What is the distance the fish pulled the fishing line?

\newline

Round your answer to the nearest

\mathrm{cm}

.

\newline

\square

\mathrm{cm}

Calculate Circumference: Calculate the circumference of the spool using the formula $C = 2 \cdot \pi \cdot r$ , where $r$ is the radius. $\newline$ $C = 2 \cdot \pi \cdot 4 \, \text{cm}$ $\newline$ $C = 8\pi \, \text{cm}$
Determine Total Distance: Determine the total distance the line was pulled by multiplying the circumference by the number of spins. $\newline$ Total distance $= C \times \text{number of spins}$ $\newline$ Total distance $= 8\pi \, \text{cm} \times 16$ $\newline$ Total distance $= 128\pi \, \text{cm}$
Convert Total Distance: Convert the total distance into a rounded number since $\pi$ is approximately $3.14$ . $\newline$ Total distance $\approx 128 \times 3.14 \, \text{cm}$ $\newline$ Total distance $\approx 401.92 \, \text{cm}$ $\newline$ Round to the nearest cm. $\newline$ Total distance $\approx 402 \, \text{cm}$

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