145k views
1 vote
The area of a circle is 36 square units. What is its circumference?

Type the correct answer in the box. Use numerals instead of words.
The circumference is
units.

User Cadburry
by
7.2k points

1 Answer

0 votes

21.27 units

============

Use the formula:

  • C = 2πr, where C is the circumference and r is the radius

We are given the area of the circle, which is 36 square units.

The formula for the area of a circle is:

  • A = πr²

Setting the area equal to 36, we have:

  • πr² = 36
  • r² = 36/π
  • r =
    √(36/\pi) units

Now, we can use the circumference formula to find:

  • C = 2π
    √(36/\pi) = 21.27 units

User Dave Jemison
by
7.4k points