Answer:
The length of the strongest beam is 13.8 inches
Step-by-step explanation:
* Lets explain how to solve this problem
- There is circular log with radius r
- There is a rectangular beam of length l is cutting from the circular log
- The strongest rectangular beam is the one whose length is 2.3 times
the radius of the log
∴ l = 2.3 r
- The diameter of the circular beam is 12 inches
- Use the formula above to find the length of the strongest beam
∵ The diameter of the circular log is 12 inches
∵ the radius of the circle = half the diameter of the circle
∴ r = 1/2 × the diameter
∴ r = 1/2 × 12 = 6 inches
∵ l = 2.3 r
∴ l = 2.3 × 6 = 13.8 inches
* The length of the strongest beam is 13.8 inches
