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maks197457 [2]
4 years ago
6

Please help with explanation

Mathematics
1 answer:
velikii [3]4 years ago
6 0

Answer:

B

Step-by-step explanation:

The formula for a area of the first semi circle is

\frac{1}{2}  \times \pi {r}^{2}

where r is the radius

Since 4 is the diameter, 2 is the radius

plug it in

\frac{1}{2}  \times \pi {2}^{2}

\frac{1}{2}  \times 4\pi

2\pi

so the area of the first circle is 2

2\pi

now let find the second circle

Since the semi circle is twice the area of AB the diameter is 8 so the radius is 4.

Put it in the equation.

\frac{1}{2}  \times \pi {4}^{2}

\frac{1}{2}  \times \pi \times 16

8\pi

Now let find the third circle

Since it is twice the size of the second circle, the diameter is 16 and the radius is 8.

\frac{1}{2}  \times \pi {8}^{2}

\frac{1}{2}  \times 64\pi

32\pi

Now let add the area of the semi circle

32\pi + 2\pi + 8\pi = 42\pi

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