Question

The area of a circle is 12pi square units. what would the circumference of the circle be?

Answer 1

To find the circumference of a circle with an area of 12π square units, solve for the radius using the area formula and then calculate the circumference using the radius.

Step-by-step explanation:

The area of a circle is given by the formula A = πr², where A is the area and r is the radius of the circle. Given that the area of the circle is 12π square units, we can set up the equation 12π = πr². Solving for r, we find that r² = 12, which means that the radius r is √12 or approximately 3.464. Once we have the radius, the circumference of the circle can be found using the formula C = 2πr. Substituting in the value of the radius, we get the circumference C = 2π(√12), which simplifies to C = 2π × 3.464 or approximately C = 21.75 units.

Answer 2

Answer:2√12 π

Step-by-step explanation:

The formula for area of circle = r^2 π

Since the question tells us that the area of the circle is 12π, we can make r^2 π = 12π, so r^2 = 12 when we cancel π from both sides. Then, r = √12.

The formula for circumference of circle = 2πr

We can now plug in √12 for r and we'll get 2√12 π.