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Mathematics 13 Online
OpenStudy (anonymous):

PLEASE HELP ME ANSWER THESE QUESTIONS FOR THIS IMAGE. -PICTURE IS UNDER THIS POST-

OpenStudy (anonymous):

OpenStudy (mathteacher1729):

This exact question came up earlier today.

OpenStudy (anonymous):

REALLY? SOMEONE ELSE ASKED IT?

OpenStudy (mathteacher1729):

Yes, this exact same question. Down to the letter.

OpenStudy (anonymous):

THATS WEIRD LOL

OpenStudy (anonymous):

yep some christine person

OpenStudy (anonymous):

invited us to twiddla to have us do it... probably same workbooks.

OpenStudy (anonymous):

oh ok.. could you guys help me do this?

OpenStudy (mathteacher1729):

Formula for area and circumference were given in the previous answer. The question of arclength is this: 100% of the circumference is pi times diameter. (that's a full 360 degrees). Now, you're only given 72%, so what percent of the full 360 degrees is that?)

OpenStudy (anonymous):

do I multiply 72 and 360??

OpenStudy (anonymous):

the entire circle q area is\[225\pi\] and the diameter of the circle is \[30\pi\] the last question in the picture wants you to find the arclength of the circle, which is 72/360 degrees of the circle. You will find it to be \[5\pi\]

OpenStudy (anonymous):

oops. it's \[6\pi\]

OpenStudy (anonymous):

you don't multiply them. you multiply \[\frac{72}{360}\] by the circumference of the circle which is \[30\pi\]

OpenStudy (anonymous):

what about the area?

OpenStudy (anonymous):

225?

OpenStudy (anonymous):

and the area is 15?

OpenStudy (anonymous):

to find the area, you need to use the equation \[Area = \pi r^2\] where r is given to be 15 inches

OpenStudy (anonymous):

i mean the length of DE

OpenStudy (anonymous):

the length of DE is not actually 15 inches. It's the length of DQ and QE

OpenStudy (anonymous):

so when it says calculate the are of the circle Q the answer is 15 pi? the circumference=30 the length of DE=15?

OpenStudy (anonymous):

oh ok

OpenStudy (anonymous):

so what would the length of DE be?

OpenStudy (anonymous):

once you find the circumference of circle Q (30pi) you multiply it by \[\frac{72}{360}\]

OpenStudy (anonymous):

to get the arclength of DE. for the length of the segment DE... you need to work with triangles.

OpenStudy (anonymous):

the length of DE=6?

OpenStudy (anonymous):

how did you find that?

OpenStudy (anonymous):

72/360x30?

OpenStudy (anonymous):

yeah. that's the answer to the last question in the picture, the length of arc DE :-D

OpenStudy (anonymous):

thanx! so everything else is right? number 4 is a)15 and number 5 is b)30?

OpenStudy (anonymous):

number 5 is right. number 4 is wrong though. check my answer again

OpenStudy (anonymous):

15 squred so its 225?

OpenStudy (anonymous):

I got 225 pi using the formula for area of a circle first I squared 15 to get 225, then I multiplied it by pi.

OpenStudy (anonymous):

choice d.

OpenStudy (anonymous):

ok,thanx ALOT..there are 2 more question to this image im going to be posting in like 5 seconds..if you could help me out that would be awesome

OpenStudy (anonymous):

\begin{array}l\color{#FF0000}{\text{Y}}\color{#FF7F00}{\text{o}}\color{#FFFF00}{\text{u}}\color{#00FF00}{\text{ }}\color{#00FF00}{\text{p}}\color{#0000FF}{\text{o}}\color{#6600FF}{\text{s}}\color{#8B00FF}{\text{t}}\color{#FF0000}{\text{,}}\color{#FF7F00}{\text{ }}\color{#FF7F00}{\text{I}}\color{#FFFF00}{\text{ }}\color{#FFFF00}{\text{a}}\color{#00FF00}{\text{n}}\color{#0000FF}{\text{s}}\color{#6600FF}{\text{w}}\color{#8B00FF}{\text{e}}\color{#FF0000}{\text{r}}\end{array}

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