#Compound shapes

51 messages · Page 1 of 1 (latest)

stable lily
limber dockBOT
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stray kiln
stable lily
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@stray kiln All of it, im not sure where to start

stray kiln
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ok

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so AD = AE + ED as you can see by the diagram

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then use properties of rectangles and circles to find AE and AD

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for (b), notice that arc CD is a quarter of the circumference of the full circle, as ED is perpendicular to EC
and you can also use that fact to find the area

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then finally
for (c), simply multiply all dimensions of ABCE to get the real dimensions, and find area from that

stable lily
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@stray kiln For DC I don't have a degree to find the arc

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Also what properties of rectangles and circles would I use to find AE? AE is the same as CB

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But I don't see a way to find AD

stray kiln
stray kiln
stable lily
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Ok thank you!

stable lily
stray kiln
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for which

stable lily
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A

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I meant CD for starters

stray kiln
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no, AD is not 5.495

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oh ok

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so what is the circumference of the whole circle

stable lily
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21.98?

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Actually, it says to use 22/7 so it would be 22

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It could also be 44

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@stray kiln

The formula to find circumference of a circle is pi x d, we're already given the half of the diameter since it isn't the full circle, so the other half would be 14.

So 22/7 x 14 = 44 for the full diameter of the circle

stray kiln
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yes its 44

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so what is a quarter of that

stable lily
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Why would you need a property to find AE as well? Can't you just use the measurement of the opposite side?

stray kiln
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opposite sides are congruent, all radii are congruent respectively

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those are the properties i am talking about

stable lily
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Thank you

stable lily
stray kiln
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yes

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it couldn't possibly be 5.495, it's clearly more than 7 anyway

stable lily
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11*

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Is AD 11?

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Or is it CD?

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@stray kiln If CD is 11, does that mean DE is 6?

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o7 monothonk close enough

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@stray kiln Is ii 25? megathonk

stray kiln
stable lily
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For C, AB = 7 and CE = 7 , it says to find area as well .

But if you're finding the area of the rectangle wouldn't it be 7 x 5? Why mention any scale or ABCE?

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Unless you wouldn't multiply 7x7 for some reason

stray kiln
stable lily
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@stray kiln So 350 000cm² is the answer?

stable lily
stray kiln