Question

Find the area of each composite figure.

Answer 1

320+32π

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

Answer 2

Square : 320

Semicircle: 32π

Total Area: 320 + 32π

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
`(1)/(2)\pi r^2`

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

`(1)/(2)\pi (8^2)\ = (1)/(2)\pi (64) = 32\pi`

The area of the total shape is 320 + 32π