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Find the approximate radius of a circle with a circumference of 198 centimeters. Use 3.14 for
pi. Round to the nearest hundredth.

Find the approximate radius of a circle with a circumference of $198$ centimeters. Use $3$ . $14$ for $\pi$ . Round to the nearest hundredth.

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Convert between customary and metric systems

Full solution

Q. Find the approximate radius of a circle with a circumference of

198

centimeters. Use

3

.

14

for

\pi

. Round to the nearest hundredth.

Identify Circumference Formula: question_prompt: What's the radius of a circle if the circumference is $198\,\text{cm}$ , using $3.14$ for $\pi$ ?
Plug in Values: The formula for the circumference of a circle is $C = 2 \times \pi \times r$ , where $C$ is the circumference and $r$ is the radius. We need to solve for $r$ .
Isolate Radius: Plug in the values we know: $198 = 2 \times 3.14 \times r$ .
Perform Division: Divide both sides by $2 \times 3.14$ to isolate $r$ : $r = \frac{198}{2 \times 3.14}$ .
Calculate Approximation: Calculate the division: $r = \frac{198}{6.28}$ .
Round to Nearest Hundredth: $r \approx 31.53$ .
Round to Nearest Hundredth: $r \approx 31.52866242038217$ . Round to the nearest hundredth: $r \approx 31.53$ cm.

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