A triangle has sides that measure 2 units, 5 units, and 5.39 units. What is the area of a circle with a circumference that equals the perimeter of the triangle? Use 3.14 for π, and round your answer to the nearest whole number.

39 units2
25 units2
49 units2
12 units2

D

Step-by-step explanation:

The perimeter of the triangle is just the sum of its side lengths: 2 + 5 + 5.39 = 12.39 units.

Now, the circumference of a circle is basically its perimeter, and it's found by using the formula: , where r is the radius. Let's set this expression equal to 12.39 and then solve for r because we need that value in order to find the area of the circle:

12.39 =

Solving for r, we get: r = ≈ 1.97 units.

Now, we need to use this value of r to find the area of a circle, which is denoted by the formula: . So, let's plug in this value of r:

A = ≈ 12.22 ≈ 12 units squared.

Thus, the answer is D.

Hope this helps!

Hi there! Hopefully the answers your question!

12 units2.