Answer:
[tex]2,642.08cm^2[/tex]
Step-by-step explanation:
to find the area of the circle we need the following formula:
[tex]a=\pi r^2[/tex]
where [tex]\pi[/tex] is a constant ([tex]\pi=3.1416[/tex]) and [tex]r[/tex] is the radius of the circle.
The radius is the measure of the line from the center of the circle to a point on the circumference.
The HF measurement is a line that crosses the circle in the middle passing through the center, this is known as the diameter of the circle:
[tex]d=58cm[/tex]
and from the symmetry of the circle, it is known that if we divide the diameter in half we obtain the radius:
[tex]r=d/2\\\\r=58cm/2\\\\r=29cm[/tex]
and now we can use the formula for the area:
[tex]a=\pi r^2[/tex]
substituting the radius:
[tex]a=\pi (29cm)^2\\a=\pi(841cm^2)\\a=2,642.08cm^2[/tex]
which is the second option.
(Note: option 4 is wrong because it has [tex]cm[/tex] units instead of [tex]cm^2[/tex])
