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lolersgaming1

Answer:

Square : 320

Semicircle: 32π

Total Area: 320 + 32π

Step-by-step explanation:

The rectangle is 16 x 20 = 320.

We know the semicircle's diameter is 16, so the radius is 8.

the area of a semicircle is [tex]\frac{1}{2}\pi r^2[/tex]

the radius is 8, we plug that in to get:

[tex]\frac{1}{2}\pi (8^2)\ = \frac{1}{2}\pi (64) = 32\pi[/tex]

The area of the total shape is 320 + 32π

Answer:

320+32π

Step-by-step explanation:

Let's find the rectangle by multiplying both sides.

16*20=320

Let's find the radius of the semi-circle:

16:2=8

Let's find the area of the circle and divide it by two:

The formula for the area of the circle is πr². r is the radius. Now we can plug in the information we have.

8²*π=64π

64π is the whole circle but we only need half of the circle, so we divide by 2.

64π/2=32π

We can now add the two areas in order to get the area of the full figure.

320+32π

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