Answer:
here you go Sofia
Step-by-step explanation:
23.2 is one side of the triangle
21.7 is another
since the triangle goes around that circle perfectly two of the sides have to be the same
so the other side is also 21.7 just add them
21.7 + 21.7 + 23.2= 66.6 for the perimeter of the triangle
Area = ½[√(a^2 − b^2 ⁄4) × b]
Area = 1/2 [ sqrt(23.2^2 - 21.7^2 / 4 ) *21.7]
Area = 1/2 [ sqrt(538.24 - 470.89/4 ) *21.7]
Area = 1/2 [ sqrt( 420.5175 ) * 21.7]
Area = 1/2 [ 20.50652335 * 21.7 ]
Area = 1/2 [ 444.991556 ]
Area = 222.4957
now use that to find the radius of the circle
Area = 1/2 * r * trig perim
222.4957 = 1/2 * r * 66.6
6.681554 = r
now find the circumference of the circle ( perimeter of circle)
circ= 2[tex]\pi[/tex]r
circ = 2[tex]\pi[/tex]6.681554
circ = 41.98144
