Question

Figure ABD was created by drawing square ABCD and removing a quarter circle.

What is the perimeter of figure ABD?
Use 3.14 to approximate pi.

___________m

http://static.k12.com/calms_media/media/1571000_1571500/1571376/1/77f1b6c0d76569779b0e945b0bbe4d5308239340/MS_IMB-1401212-1110904.jpg

Answer 1

@inowalst

Answer 2

this is the hardest of them all

Answer 3

These specific problems are hard for me soo maybe @TheSmartOne can help?

Answer 4

just askin, what grade r u in

Answer 5

i am in 7th

Answer 6

I'm in 10th.

Answer 7

In 10th, school-wise.. But I'm ahead of school.

Answer 8

cool, i will tag u when i have a problem that is much easier to solve for u, but not for me :)

Answer 9

it shall not be long

Answer 10

@TheSmartOne , do u mind helping ??

Answer 11

Sure.

Answer 12

thx, so where do i start

Answer 13

Thanks.

Answer 14

First off, @o9gu2dwbcoiu3di

\(\bf\huge~~~~\color{#ff0000}{W}\color{#ff2000}{e}\color{#ff4000}{l}\color{#ff5f00}{c}\color{#ff7f00}{o}\color{#ffaa00}{m}\color{#ffd400}{e}~\color{#bfff00}{t}\color{#80ff00}{o}~\color{#00ff00}{O}\color{#00ff40}{p}\color{#00ff80}{e}\color{#00ffbf}{n}\color{#00ffff}{S}\color{#00aaff}{t}\color{#0055ff}{u}\color{#0000ff}{d}\color{#2300ff}{y}\color{#4600ff}{!}\color{#6800ff}{!}\color{#8b00ff}{!}\\\bf ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Made~by~TheSmartOne\)

Hey there!!! Since you are new here, read this legendary tutorial for new OpenStudiers!! http://goo.gl/5pp1u0

Answer 15

thx

Answer 16

okay, i get the concept and the way things work around hear

Answer 17

like no giving straight answers

Answer 18

They want us to find the perimeter of the ABD. So to find the perimeter, we have to add the lengths of all the sides. So I have outlined all the sides for ABD in the picture attached in \(\sf\color{red}{red}\)

Answer 19

alright, and we already know that one side is 24

Answer 20

so how, and what now?

Answer 21

OOOHHH, is it 54.72

Answer 22

i have been doing it while i was waiting :P

Answer 23

So since it is a square, we already know that two of the side’s lengths are 24. We just need to calculate the length of the arc. So to do that, we will have to find the circumference of the circle and divide it by 4 which I outlined as \(\sf\color{blue}{blue}\).

Answer 24

i know the method, it is actually quit simple, i will show u

Answer 25

I already know it too :P

Answer 26

Hence, why I'm helping you :P

Answer 27

this is how I got the full answer.
1. 24*4=96
2. 48 *3.14= 150.72
3. 150.72-96= 54.72

Answer 28

is that it??

Answer 29

I AM SO STUPID OF NOT KNOW THAT!!!!!

Answer 30

Umm no

Answer 31

even though i already knew that, thank you so much for ur help

Answer 32

You got it almost correct, until the end.

Answer 33

ummmmm...what???

Answer 34

so i got it wrong, HOW??

Answer 35

So we calculated the length of that side. And you got the correct value which is 150.72.

But since it is 1/4 of a circle, we divide 150.72/4 = 37.68

Answer 36

what?!!? so 37.68 is the answer??

Answer 37

No, that is only the length of one side.

Answer 38

wow, did not see that coming , I was way off, thank goodness u r here to help me, anywho, since that is not the answer, i will keep listening

Answer 39

ok

Answer 40

And they asked for the perimeter, so we have to add the lengths of all three sides now

\(\sf 37.68+24+24=?\)

Answer 41

sorry, i seem to be getting ahead of myself

Answer 42

85.68 is what i got

Answer 43

It's ok, haha. But at least you got the concept :)

Answer 44

okay, now what??

Answer 45

Well that is your answer, nothing more to it :P

Answer 46

oh, so 85.68 is it

Answer 47

:)

Answer 48

do u mind helping me with one more?!

Answer 49

i will tag u

Answer 50

Sure, I'll try :)