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3 years ago

Find the area of the semicircle. diameter = 12

Mathematics

2 answers:

dimaraw [331]3 years ago

7 0

Answer:

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

Step-by-step explanation:

Diameter = 12

Radius = 12/2 = 6

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

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

baherus [9]3 years ago

4 0

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

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Mnenie [13.5K]

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