Question

Find the area of the semicircle. diameter = 12

Answer 1

18π units²

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

Answer 2

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

Explanation:

Diameter = 12

Radius = 12/2 = 6

`\sf Area\ of \ Semicircle =(\pi r^2)/(2) \\Area\ of \ Semicircle =(\pi (6)^2)/(2) \\Area \ of \ Semicircle = (\pi (36))/(2)\\ Area \ of \ Semicircle = 18 \ pi`

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