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Geometry 13 Online
OpenStudy (anonymous):

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

OpenStudy (anonymous):

OpenStudy (dumbcow):

shaded = Rect - 2*sector radius = 6 rectangle is 6 by 12

OpenStudy (jack1):

*circle, my bad (corcle is not a word...yet)

OpenStudy (jack1):

so how'd u go?

OpenStudy (jack1):

* dammit fat fingers again * meant to be: so area of rectangle minus 1/2 area of circle = area of shaded part

OpenStudy (jack1):

area of the rectangle = L x W area of the circle = pi r ^2 L = 2r W =r r = 6

OpenStudy (anonymous):

Sorry i was getting orange juice -__ -

OpenStudy (jack1):

all good

OpenStudy (anonymous):

Would it be units squared ?

OpenStudy (anonymous):

or just units

OpenStudy (jack1):

squared (area always measured in units sqrd)

OpenStudy (anonymous):

So would my answer is 6 ?

OpenStudy (anonymous):

Oh no your saying r = 6 dumb me.

OpenStudy (anonymous):

113.04

OpenStudy (jack1):

i got a much lower answer

OpenStudy (jack1):

Area of rectangle = ?

OpenStudy (anonymous):

Wow i would do the area of a circle for a rectangle.

OpenStudy (anonymous):

12 ahaha

OpenStudy (anonymous):

use *

OpenStudy (jack1):

area of rectangle = L x W = 2r x r = 12 x 6 = 72

OpenStudy (jack1):

area of circle = pi x r^2 = pi x 6^2 = 36pi

OpenStudy (anonymous):

Isn't 72 too much ? :o

OpenStudy (jack1):

it's a quarter circle, it's dimensions have to be 2r x r (rectangle)

OpenStudy (jack1):

so (area of rectangle) minus (1/2 * (area of circle) = area of shaded part

OpenStudy (anonymous):

I forgot never question a mentor, i see why (:

OpenStudy (jack1):

no, dude question EVERYTHING! is a rule to live by, trust me

OpenStudy (jack1):

its how you learn and how you stop ppl getting away with stuff

OpenStudy (jack1):

ie abuse of power IRL

OpenStudy (anonymous):

I'll take your word for it since you are more wise

OpenStudy (jack1):

so how'd u go with ur area? jew get a final answer?

OpenStudy (anonymous):

Your kidding, 72 wasn't the final answer ?

OpenStudy (anonymous):

Well there goes getting that answer right.

OpenStudy (jack1):

....? so (area of rectangle) minus (1/2 * (area of circle) = area of shaded part 72 was just area of rectangle

OpenStudy (jack1):

sorry dude, will use pics next time

OpenStudy (anonymous):

I do my homework online so i automatically got it wrong. ahaha

OpenStudy (jack1):

damn

OpenStudy (anonymous):

It's fine though, it doesn't matter.

OpenStudy (jack1):

ok, just incase you can request a do over, i got 15.451 as my answer for the shaded part

OpenStudy (anonymous):

No really it's fine if i get over a certain percent i pass, should i stress that i need to do 3 more units before monday ? I'm asking because you're experienced :D

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