the circumference of a circular painting is 34.54 feet. What is the diameter of the painting? Use 3.14 for π and do not round your answer.

Answer 1

The circumference of a circle can be calculated using the formula:

Circumference = 2πr

Where r is the radius of the circle.

We are given the circumference of the painting as 34.54 feet, so we can set up the equation as:

34.54 = 2πr

To find the diameter (d), we can use the formula:

d = 2r

Rearranging the equation 34.54 = 2πr, we get:

r = 34.54 / (2π)

Using π = 3.14, we can substitute this value into the equation:

r = 34.54 / (2 * 3.14) = 5.5 feet (approximately)

Finally, we can find the diameter (d) by multiplying the radius (r) by 2:

d = 2 * 5.5 = 11 feet

Therefore, the diameter of the painting is 11 feet.