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You are standing next to a really big circular lake. You want to measure the diameter of the lake, but you don't want to have to swim across with a measuring tape! You decide to walk around the perimeter of the lake and measure its circumference, and find that it's
400 pim.
What is the diameter
d of the lake?

d=◻m

You are standing next to a really big circular lake. You want to measure the diameter of the lake, but you don't want to have to swim across with a measuring tape! You decide to walk around the perimeter of the lake and measure its circumference, and find that it's $400 \pi \mathrm{m}$ . $\newline$ What is the diameter $d$ of the lake? $\newline$ $d=\square$ $\mathrm{m}$

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Write a linear function: word problems

Full solution

Q. You are standing next to a really big circular lake. You want to measure the diameter of the lake, but you don't want to have to swim across with a measuring tape! You decide to walk around the perimeter of the lake and measure its circumference, and find that it's

400 \pi \mathrm{m}

.

\newline

What is the diameter

d

of the lake?

\newline

d=\square

\mathrm{m}

Circle Circumference Formula: We know the formula for the circumference of a circle is $C = \pi d$ , where $C$ is the circumference and $d$ is the diameter.
Given Circumference: We have the circumference, $C = 400 \pi\,\text{m}$ . We need to find the diameter $d$ .
Rearrange Formula for Diameter: Rearrange the formula to solve for $d$ : $d = \frac{C}{\pi}$ .
Plug in Circumference Value: Plug in the value of $C$ into the equation: $d = \frac{400 \pi m}{\pi}$ .
Approximate Pi: Use the approximation $\pi \approx 3.14$ to calculate $d$ .
Calculate Diameter: Now, calculate $d$ : $d = \frac{400 \pi m}{3.14}$ .
Final Diameter Calculation: After the calculation, we get $d \approx 127.39$ pim.

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