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.
