#how do I do this plz help

107 messages · Page 1 of 1 (latest)

wispy harness
royal grail
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help

gaunt jewel
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It is an equilateral triangle

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That means all the angles are the same

royal grail
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Yeah

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I got that part

gaunt jewel
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The sum of the angles of a triangle is 180, and if it has 3 angles, then each angle is 180/3 degreess

royal grail
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I’m stuck on the tiny little things

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The yellow ones

gaunt jewel
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So it is neither 45 90 45 nor 30 60 90

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Ok so

cedar crag
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what are the radii of the circles

gaunt jewel
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That is what you have to know, yes

royal grail
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It’s like a 2D cone

cedar crag
gaunt jewel
cedar crag
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but yeah it doesnt actually say they are circles

royal grail
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They have points

cedar crag
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so technically they may not be

royal grail
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They aren’t

cedar crag
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you can assume they are

gaunt jewel
cedar crag
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S. M. H.

gaunt jewel
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We assume some symmetrical axes and then we can solve it

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So it is the portion of a circle

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Like the slice of a pizza

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You need to find the area of it

royal grail
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Yeah

cedar crag
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so do you have the area of each red shape

royal grail
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We need to find the area of a sector

gaunt jewel
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So calculate the area of the whole circle

royal grail
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We need to find that

gaunt jewel
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Let's calculate it then

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You need the radius

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What is the radius

royal grail
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6?

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No

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3

gaunt jewel
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No

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Why 3 and not 6

royal grail
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Here’s the pic

royal grail
gaunt jewel
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No, imagine the whole circle drawn

royal grail
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but we only have 3/4s of the circle

gaunt jewel
royal grail
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Ohhh

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So it is 6

gaunt jewel
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Yes!

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So what would the area of that whole red area be

royal grail
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36 pi

gaunt jewel
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Yes!

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But we don't have the whole circle

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How much of that circle do we have?

royal grail
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3/4

gaunt jewel
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No

royal grail
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huh

gaunt jewel
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How do you get 3/4

royal grail
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1/2?

royal grail
gaunt jewel
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Are you talking about the 3 red areas combined or just one?

royal grail
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All 3

gaunt jewel
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Ok let's think then

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A circle has 360°

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And there we have 3 sections that cover 60° each

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So we are covering 180°

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180/360 = 1/2, as you said

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So the area of the 3 sections is half the area of the circle

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How much is that

royal grail
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Uh

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18pi

gaunt jewel
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Yes!

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Ok

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Now we just need the area of the triangle

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And we will get the area of the middle thing

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You see how, right?

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The area of the yellow region is the area of the triangle minus the area of the red region

royal grail
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I see

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Wait

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But this is how they solved it

gaunt jewel
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They are doing the same as us

royal grail
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we got the same answer, right?

gaunt jewel
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Not yet, you still need the last step

gaunt jewel
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I have to go, someone else can help you finish that part if you don't know how to do it

royal grail
royal grail
cedar crag
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because the triangles have angles of 60°

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because equilateral

royal grail
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oh

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So sqrt108 - 18pi

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Equals the center

cedar crag
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sqrt(108) is not right

royal grail
royal grail
cedar crag
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area = s^2*sqrt(3)/4

royal grail
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Yeah

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I js remembered

cedar crag
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12^2*sqrt(3)/4 = 144*sqrt(3)/4 = 36sqrt(3)

royal grail
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Oh