Question

Find the area of the semicircle. diameter = 12

Answer 1

Answer:

$\huge\boxed{\sf Area\ of \ Semicircle = 56.55 \ units^2}$

Step-by-step explanation:

Diameter = 12

Radius = 12/2 = 6

$\sf Area\ of \ Semicircle =\frac{\pi r^2}{2} \\Area\ of \ Semicircle =\frac{\pi (6)^2}{2} \\Area \ of \ Semicircle = \frac{\pi (36)}{2}\\ Area \ of \ Semicircle = 18 \ pi$

$\sf Area\ of \ Semicircle = 56.55 \ units^2$

Answer 2

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