An artist is commissioned to create a round state seal with an area of 5.3066 square meters. What is the seal's circumference?

Sure, here are the steps to solve the problem:

Step 1: We know that the area of a circle is given by the formula A = πr², where r is the radius of the circle. We can rearrange this formula to solve for r: r = sqrt(A/π).

Step 2: Substitute the given area into the formula: r = sqrt(5.3066/π) = 1.3 meters (approximately).

Step 3: The circumference of a circle is given by the formula C = 2πr. Substitute the calculated radius into this formula to find the circumference: C = 2π(1.3) = 8.17 meters (approximately).

So, the circumference of the seal is approximately 8.17 meters.