Respuesta :
Answer:
[tex]\huge\boxed{\sf Area\ of \ Semicircle = 56.55 \ units^2}[/tex]
Step-by-step explanation:
Diameter = 12
Radius = 12/2 = 6
[tex]\sf Area\ of \ Semicircle =\frac{\pi r^2}{2} \\Area\ of \ Semicircle =\frac{\pi (6)^2}{2} \\Area \ of \ Semicircle = \frac{\pi (36)}{2}\\ Area \ of \ Semicircle = 18 \ pi[/tex]
[tex]\sf Area\ of \ Semicircle = 56.55 \ units^2[/tex]
Answer:
18π units²
Step-by-step explanation:
(see attached for reference)
Recall that the area of a whole circle is given by:
A = (π/4) D²,
where D is the diameter of the circle.
We know that the area of a semi-circle is half the area of a whole circle.
Therefore,
Area of Semi Circle
= (1/2) x area of whole circle
= (1/2) x (π/4) D² (Substitute D = 12 units)
= (1/2) x (π/4) (12)²
= 18π units²
