SOLUTION: Hello, Can someone please help me with the following question: Given the information with the image below: circle is: {{{ x^2 + y^2=625}}} and the equation for AC is: {{{

Algebra ->  Circles -> SOLUTION: Hello, Can someone please help me with the following question: Given the information with the image below: circle is: {{{ x^2 + y^2=625}}} and the equation for AC is: {{{       Log On


   

Question 1022338: Hello,
Can someone please help me with the following question:
Given the information with the image below:
circle is: +x%5E2+%2B+y%5E2=625
and
the equation for AC is: +y=3%2F4+x
Find the points A and C
Find the equation BD
Find the points B and D
Find the area and perimeter of the square.
I have the answers but am not sure how to get them.
Thanks.

(the answers are: A=-20,-15 C=20,15 BD: y=-3/4 x B=-15,20 D=15,-20 area:1250 per: 141.42)

photo math001.jpg

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Given the information with the image below:
circle is: +x%5E2+%2B+y%5E2=625
and
the equation for AC is: +y=3%2F4+x
*** AC is a straight line, so it's not +y=3%2F4+x
It's y+=+%283%2F4%29x+=+3x%2F4
------------
Sub for y in +x%5E2+%2B+y%5E2=625
+x%5E2+%2B+%283x%2F4%29%5E2+=+625
+x%5E2+%2B+9x%5E2%2F16+=+625
25x%5E2%2F16+=+625
x%5E2+=+400
--> x = 20, y = 15 --> C(20,15)
----
x = -20, y = -15 --> A(-20,-15)
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email via the TY note for help with the rest, or to check your work.
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Find the points A and C
Find the equation BD
Find the points B and D
Find the area and perimeter of the square.