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Mathematics 21 Online
Katy:

7.) Find the area of the given figure.

Katy:

g

1 attachment
Shadow:

\[A_{sc} = \pi r^2\] Area of a semicircle is equal to pi times radius squared \[A_{r} = l \times w\] Area of a rectangle/square is equal to length times width.

Shadow:

Notice how the shapes can all be broken down into semicircles and rectangles. Solve for each shape then add them up.

Shadow:

In some instances they only give you the diameter. So divide it by 2 to get the radius d = 2r

Shadow:

\[A_{t} = \frac{ 1 }{ 2 }bh\] Area of a triangle equals 1/2 times base times height

Shadow:

Asc = area of a semicircle

Shadow:

At = area of a triangle

Shadow:

1

Shadow:

U can break them into 2 if u want

Shadow:

I can check ur answers in like 20min xd sorry

Shadow:

Semicircle I got 201

Shadow:

For 7

Shadow:

@Katy

Shadow:

Technically yes. We didn't get the same value because you used less of the pi numbers after the decimal.

Shadow:

\[A_{sc} = \pi r^2 = \pi(8)^2 = 201.06\]

Shadow:

.14 are the first two values after the decimal point. There's a lot more. I used my calculator which has the pi symbol, which uses more numbers probably.

Shadow:

If your teacher used 3.14 in class then you're probably fine.

Shadow:

Yes

Shadow:

Yes

Shadow:

Yes

Shadow:

Yeah, what option do you think it is?

Shadow:

mhm

Shadow:

Affirmative, haha

Shadow:

Affirmative = yes

Shadow:

There's two semicircles, but since two semicircles is one semicircle (and they share the same rectangle inbetween them, thus the same diameter, you can use the formula for one circle, or just multiple the semicircle result by 2

Shadow:

Hmm, good thing we had this question actually. I copied and pasted the wrong formula for the semicircle \[A_{c} = \pi r ^2\] \[A_{sc} = \frac{ \pi r^2 }{ 2 }\]

Shadow:

So for 7, it's actually B, since you divide 201 by 2

Shadow:

Yeah

Shadow:

Lol this is what I get for helping w/math at 1am :^)

Shadow:

Should be fine now though lol

Shadow:

I live in Hawaii, so HST (Hawaiian Standard Time)

Shadow:

So for #8, since it's two semicircles, or one full circle, plus a rectangle, you can do: \[A_{c} = \pi(7.5)^2 \] + \[A_{r} = 25 \times 15 \]

Shadow:

Yes

Shadow:

Yes

Shadow:

Affirmative

Shadow:

Oh just use \(\color{#0cbb34}{\text{Originally Posted by}}\) @Shadow Hmm, good thing we had this question actually. I copied and pasted the wrong formula for the semicircle \[A_{c} = \pi r ^2\] \[A_{sc} = \frac{ \pi r^2 }{ 2 }\] \(\color{#0cbb34}{\text{End of Quote}}\)

Shadow:

2nd formula

Shadow:

Yes

Shadow:

Yes x2

Shadow:

Times 2, as in saying it for the second time. Don't mind it xd

Shadow:

Well that's the triangle, so we just add that to the semicircle result.

Shadow:

Yes

Shadow:

Yes, we have a semicircle and a square.

Shadow:

Yes

Shadow:

Ik you got this last part. I believe.

Shadow:

Yes

Shadow:

Yes

Shadow:

Yeah it's looking like E

Shadow:

Hey Katy that's it for now right. My pillow is calling me c;

justjm:

It seems like the asker deleted all of his/her original posts, so it looks like you were responding to yourself lol

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