Question

Can someone please look at the photo and explain a bit? Thank you!

Answer 1

you have to find the area of the square, and then of the 2 hemispheres and add them up

Explanation:

Answer 2

`A\approx 44.62\ in^2`

Explanation:

For this equation, it's hard to calculate the area of this type of figure all in one, but if we split this up into shapes we know, such as a square and semicircle, we can more easily calculate the area.

Assuming the two figures are indeed semicircles, and that it completely aligns with one side of the square, then the diameter of the two semicircles turn out to be 5 inches.

We can calculate the radius by calculating half the diameter, which is 2.5

The formula of a semi circle, is just the area of a circle:
`\pi r^2`, but divided by two, since it's only half a circle.

Since we have two semicircles, adding there area up, should give us the area of a circle. So we can just use the area of the circle to calculate the area of the two semicircles.

Area of two semicircles:
`A_c = \pi(2.5 \ in)^2 =6.25\pi\ in^2`

Now to calculate the area of a square, we just square one of the side lengths,
`A = s^2`. In general the area of a rectangle is just one side length, times an adjacent side length, but in a square all sides are equal, so we just square on side length.

Area of the square:
`A_s = (5\ in)^2 =25\ in^2`

Now adding the area of this square and the semicircle, we get:
`25\ in^2 + 6.25\pi\ in^2`

From here we can use a calculator to approximate this area, which results in:
`A\approx 44.62\ in^2`