Question

Help ... 10 POINTS
Find the exact circumference of the circle.

Answer 1

18π√2

Explanation:

Find the diagonal of the square because it represents the diameter of the circle. You can do this through Pythagorean theorem.

a² + b² = c²

18² + 18² = c²

324 + 324 = c²

648 = c²

√648 = c

18√2 = c

Circumference = πd

π × 18√2 = 18π√2

Answer 2

`18\pi √(2)`

Explanation:

We are given the length of two sides of the triangle (represented by the congruent tickings), we will use pythagorean theorem to find the length of the diameter.

`a^2 + b^2 = c^2`

18^2 + 18^2 =
`√(648)`

Based on the work above, the diameter is
`√(648)`

Solve for circumference using the following formula:

`C= D\pi`

`C= √(648)\pi`

Hence, c = 79.97 or
`18\pi √(2)`