Answer:
[tex]A = 6.25(pi)[/tex]
[tex]A[/tex] ~ [tex]19.63495[/tex]
Step-by-step explanation:
The formula for finding the area of a circle is;
[tex]A = (pi)r^2[/tex]
Where ([tex]A[/tex]) represents the area of the circle, ([tex]pi[/tex]) represents the value ([tex]3.1415...[/tex]) and ([tex]r[/tex]) represents the radius of the circle. As per its definition, the diameter is the largest cord or line segment that can be drawn through a circle, the diameter always passes through the center of a circle. The radius ( a line segment that can be drawn from the center of the circle to any side of the circle) is always half of the diameter.
This means that the radius for the given circle is ([tex]2.5[/tex]), since ([tex]5[/tex]÷[tex]2=2.5[/tex])
Substitute these values into the equation and solve for the area of the circle.
[tex]A = (pi)r^2\\\\A = (pi)(2.5)^2\\\\A = (pi)6.25\\[/tex]
[tex]A[/tex] ~ [tex]19.63495[/tex]
