Question

In the square below, the two semi-circles are congruent. Find the area of the shaded region. If necessary, round your answer to two decimal places.

Answer 1

@Directrix can u help me plz :/

Answer 2

Find the area of the square.

Answer 3

32 :/

Answer 4

Square-circle

Answer 5

Area of a square:
A=s^2

Answer 6

The two semi-circles form one circle of radius 8.
What is the area of a circle of radius 8?

Find the area of the square.

Subtract the circle area from the area of the square.
That is the gray section.
Post your answer and I will compare mine with your answer.

See attached schematic.

Answer 7

the area of the circle would be 200.96 :/

Answer 8

so it would be 256 - 200.96 :/ = 55.04 :/ @Directrix

Answer 9

Let's see. Do we need the exact answer or or we to get a decimal approximation?

Answer 10

im guessing the exact answer but if needed to round it :/

Answer 11

256 - 64 pi is what I got.

Answer 12

how did u get that o.O

Answer 13

That comes out to be 54.9380 if approximated.

Answer 14

>>how did u get that o.O

What is the area of the square? ----> Post. @Danny_Boy

Answer 15

the are of the square is 256 but i mean how did u get 64 :/

Answer 16

because in oder to find the area u need to pi times 8 times 8 right :/

Answer 17

The area of a cirlce is pi times the square of the radius.
The radius is 8.

Area of circle is pi times 8 times 8 = 64 pi --> area of circle

Answer 18

>because in oder to find the area u need to pi times 8 times 8 right :/

YES

Answer 19

Then, subtract the circle area from the square area to get the gray area.

Answer 20

then when i ,multiply that i keep getting 200.96 :/

Answer 21

What did you multiply to get 200.96?
Please don't add the :/ behind every post you make. Doing so makes me think you think you are weak and I know you are strong. Talk positive to yourself.

Answer 22

hahah ok then i multiply 3.14 x 8 x8 and i get that

Answer 23

200.96 is 64 times pi.

Subtract 200.96 from the square area of 16 times 16, and you will get the correct decimal answer.

Answer 24

ohhhh hahahah i c that when i do that i get this 55.04

Answer 25

That comes out to be 54.9380 if approximated.

Close enough.

Now, what are the answer options? Anything that looks like 54.9380?

Answer 26

i have no options

Answer 27

so that is my answer ???

Answer 28

Exact answer is 256 - 64 pi.
Approximated answer is 54.9380.

You'll have to read the problem instructions to determine if the exact answer or approximate decimal answer is asked for.

Answer 29

If necessary, round your answer to two decimal places.

Answer 30

54.94

Answer 31

ok i think it will be the decimal cuz it ask to round

Answer 32

54.94 square units

Answer 33

yeah that was correct thank u so much man sorry that it took long i just really want to get this right :)

Answer 34

Alright, then. Remember, no more putting yourself down! Think positive thoughts about your math work.

Answer 35

alright thank u