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Find the area of a circle with a diameter of $16\,\text{cm}$ using $\pi$ as $3.1$

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Convert between customary and metric systems

Full solution

Q. Find the area of a circle with a diameter of

16\,\text{cm}

using

\pi

as

3.1

Calculate Radius: question_prompt: What's the area of a circle with a $16\,\text{cm}$ diameter using $3.1$ for $\pi$ ?
Use Area Formula: First, find the radius by dividing the diameter by $2$ . So, $16\,\text{cm} \div 2 = 8\,\text{cm}$ . That's our radius.
Perform Calculation: Now, use the area formula for a circle, $A = \pi r^2$ . We plug in $3.1$ for $\pi$ and $8$ for $r$ .
Find Final Area: Do the math: $A = 3.1 \times 8^2$ . That's $A = 3.1 \times 64$ .
Find Final Area: Do the math: $A = 3.1 \times 8^2$ . That's $A = 3.1 \times 64$ . Multiply $3.1$ by $64$ to get the area. So, $3.1 \times 64 = 198.4$ cm $^2$ .

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