Answer:
The circumference of the circle is approximately 38.031 cm
Explanation:
To visualize the situation described, we can draw a diagram:
/\
/ \
/ \
/ \
/_______\
Here, the rectangle is inscribed inside the circle.
The rectangle has dimensions of 5 cm by 11 cm, and the circle has a radius of 12 cm.
To solve for any other information, we can use some geometry formulas.
First, we can find the diagonal of the rectangle using the Pythagorean theorem:
diagonal^2 = 5^2 + 11^2
diagonal = sqrt(5^2 + 11^2) ≈ 12.083 cm
Since the diagonal of the rectangle is the diameter of the circle, we know that the circle's diameter is approximately 12.083 cm.
Therefore, we can find the circumference of the circle using the formula:
circumference = pi x diameter
circumference = pi x 12.083 ≈ 38.031 cm
So, the circumference of the circle is approximately 38.031 cm.