C = 2\pi r = 2\pi(13) = 26\pi

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• Thus, the diameter of the circle is 26 cm, and the radius is:
• r = \frac{26}{2} = 13 \text{ cm}
• The circumference $C$ of the circle is:
• \boxed{26\pi}
• Question: An aerospace engineer at Blue Origin is designing a triangular support beam with side lengths of 13 cm, 14 cm, and 15 cm. What is the length of the shortest altitude, in centimeters?
• Solution: First, we compute the area of the triangle using Heron’s formula. The semi-perimeter $s$ is:

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