Answer:
The diameter of the circle is 16
Step-by-step explanation:
[tex]\pi = 3.14[/tex]
Area = [tex]\pi r^{2}[/tex] you will have to use this formula to find the radius
[tex]\pi r^{2} = 201[/tex] = [tex]3.14r^{2}=201[/tex] (divide 3.14 into both sides)
[tex]\frac{3.14r^2}{3.14} = \frac{201}{3.14}[/tex] cross out 3.14 leaves you with [tex]r^2[/tex] and divide 201/3.14= 64.01
[tex]r^2 = 64.01\\r = \sqrt{64.01}\\r = 8[/tex] square root 64.01 which equals 8
Diameter = [tex]2r[/tex] 2(8) = 16
To check answer use Area formula [tex]\pi (8)^{2}[/tex] = 201. 0619298
