Question

Please Help! Will fan and medal!

The green portion of the shape has an
area of 50π square feet. What are the
measures of the diagonals of the
yellow Rhombus?

Answer 1

Are there any choices?

Answer 2

No

Answer 3

well we can find the area of the rhombus
this = area of circle - 50 pi = (10pi)^2 * pi - 50pi

Answer 4

That = 2943.54803535

Answer 5

it looks like the rhombus touches the circle so one diagonal would be = 20pi feet.

Answer 6

Ok I'm not sure where to add that in to the equation

Answer 7

I cant get my head around this one , but it shouldn't be too difficult. I've got a mental block somehow..

Answer 8

Ok

Answer 9

The triangle should be 20ft high

Answer 10

Ah yes
you can find the area of the triangle in terms of x and equate it to 1/2 the area of the rhombus

so x * 10 pi = [ (10pi)^2 * pi - 50pi ] / 2

solve this for x

The other diagonal = 2*x.

Answer 11

Ok so X=1471.77401768

Answer 12

No - that is half the area of the rhombus

Answer 13

And then the other diagonal would be 2943.54803535

Answer 14

No you need to solve for x

Answer 15

Well the first big number I put was what I solved for X

Answer 16

I just did exactly what you put

Answer 17

except for the *2

Answer 18

1471.77401768 is what I found for X using the equation you gave me!

Answer 19

the 2943 was the area right
You miscalculated there

Answer 20

Where does the 2943 fit into the equation?

Answer 21

its 2943.55 - I apologise You were right

x * 10 pi = 2943.55 / 2

x = 2943.55 / 10* pi

Answer 22

924.743505547

Answer 23

X=^

Answer 24

Sorry I got called away again

I made a mistake

its 2943.55 / 2 * 10 * pi

Answer 25

which i get to be 46.85

Answer 26

Ok so is that the final answer...

Answer 27

I thought we had more steps

Answer 28

that is the value of x
diagonal = 2x = 93.7

Answer 29

So the answer would be 93.7 cause i'm pretty sure it is asking for the measures of the diagonals of the rhombus.

Answer 30

well one diagonal = diameter of the circle ( the longest one)
check the diagram

Answer 31

20 pi or 62.83 feet right?

Answer 32

No 20ft is what the diagram says

Answer 33

That line that goes across the circle and through the middle of the rhombus says 20ft

Answer 34

OH i need glasses

then our calculations are wrong

Answer 35

lol

Answer 36

OK
area of rhombus = 10^2 * pi - 50 pi = 50 pi

right?

Answer 37

this makes the calculation a lot easier