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 π, and round your answer to the nearest whole number. 17 units2 24 units2 54 units2 94 units2

Answer 1

Step-by-step explanation:

Given that,

Sides of a triangle is  4 units, 6 units, and 7.21 units.

We need to find the area of a circle with a circumference that equals the perimeter of the triangle.

Perimeter of triangle = circumference of circle

4+6+7.21=2πr, r is the radius of circle

r = 2.73 units

Area of circle,

$A=\pi r^2\\\\A=3.14\times (2.73)^2\\\\A=23.402\ \text{units}^2$

or

A = 24 sq units

So, the area of the circle is 24 square units.