Question

find the circumference of a circle with a radius of 15 centimeters. round your answer to the nearest centimeter.

5 centimeters
47 centimeters
188 centimeters
94 centimeters

Explanation:

Identify given values

We are given a circle with a radius \(r = 15\text{ cm}\).

Recall the formula

The formula for the circumference \(C\) of a circle is:

$$C = 2\pi r$$

Calculate the value

Substitute \(r = 15\) into the formula:

$$C = 2 \cdot \pi \cdot 15 = 30\pi$$

Using the approximation \(\pi \approx 3.14159\):

$$C \approx 30 \cdot 3.14159 = 94.2477\text{ cm}$$

Round to nearest centimeter

Rounding \(94.2477\) to the nearest whole number gives:

$$C \approx 94\text{ cm}$$

Answer:

• 5 centimeters
• 47 centimeters
• 188 centimeters
• 94 centimeters (Correct answer)