Question

a triangle has sides that measure 4 units 6 units and 7.21 units what is the area of a circle with a circumference that equals the perimeter of the triangle use 3.14 for pie and round your answer to the nearest whole number

Answer 1

Answer:

Area of the circle = 24 square units.

Step-by-step explanation:

A triangle has sides that measure 4 units 6 units and 7.21 units

We are told that the Perimeter of the Triangle = Circumference of a circle.

We are to find the Area of the circle.

Step 1

Find the Perimeter of the triangle

Perimeter = A + B + C

Perimeter = 4 units + 6 units + 7.21 units

Perimeter of the Triangle = 17.21 units

Step 2

Find the radius

We were asked to find the area of the circle.

We were not given the radius of the circle in the question. But we can find it because we are given the circumference of the circle.

Circumference of the circle = 2πr

Perimeter of the triangle = Circumference of the circle

Hence the circumference of the circle = 17.21 units.

π = 3.14

Radius of the circle = Circumference of a circle/ 2π

= 17.21/2 × 3.14

= 17.21/6.28

= 2.7404458599

Approximately = 2.74 units

Step 3

Find the Area of the circle

We know the radius of the circle hence,

Area of the circle = πr²

Area of the circle = 3.14 × 2.74²

= 23.573864 square units.

Approximately to the nearest whole number ≈ 24 square units.