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

area = 12 units²

Step-by-step explanation:

The perimeter of a plane figure is the distance around it.

The triangle has sides that measure 2 units, 5 units, and 5.39 units. It means that the perimeter of the rectangle would be

2 + 5 + 5.39 = 12.39 units

The circumference of a circle is the same as its perimeter.

Perimeter of circle = 2πr

Where

r represents the radius of the circle.

π is a constant whose radius is 3.14

If the circumference of the circle and the perimeter of the triangle is the same, then

2 × 3.14 × r = 12.39

6.28r = 12.39

r = 12.39/6.28

r = 1.97

Area of circle = πr²

Therefore,

Area of circle = 3.14 × 1.97² =

12 units²

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)