Question

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

Answer 1

Answer:

D. 12 units2

Answer 2

Answer:

12units²

Step-by-step explanation:

Given a triangle that has sides that measure 2 units, 5 units, and 5.39 units,

Perimeter of the triangle = 2 + 5 + 5.39

Perimeter of the triangle = 12.39units

since the circumference is equal to the perimeter of the triangle, hence;

C = 12.39units

C = 2πr

r is the radius of the circle

12.39 = 2(3.14)r

12.39 = 6.28r

r = 12.39/6.28

r = 1.973 units

Get the area

Area = πr²

Area of the circle = 3.14(1.973 )²

Area of the circle = 3.14(3.892)

Area of the circle = 12.22units²

Area of the circle ≈ 12units²