Question

12 cm 12 cm
A
M
B
The shape above is made by removing a small semi-circle from a large semi-circle
AM = MB = 12 cm
Calculate the area of the shape.
English (US​

Answer 1

Answer:

169.6 or 170

Step-by-step explanation:

Let's first find the area of the large semi-circle :

$\frac{\pi * 12^{2} }{ 2}$ or 72$\pi$

Now the area of the small semi-circle :

$\frac{\pi * 6^{2} }{2}$ or 18$\pi$

So the area of the shape after the small circle is removed is :

72$\pi$ - 18$\pi$

which as written above is 169.6 or 170

(This is verified by the mark scheme)