Mathematics
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OpenStudy (samanddean1967):
write the standard equation of each circle help please
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OpenStudy (samanddean1967):
ganeshie8 (ganeshie8):
Which problem?
OpenStudy (samanddean1967):
31
ganeshie8 (ganeshie8):
Look at the given graph
What's the coordinates of the center?
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OpenStudy (samanddean1967):
0,0
ganeshie8 (ganeshie8):
Good
Look at it again
What's th e distance between that center and any point on the circle?
OpenStudy (samanddean1967):
using distance formula?
ganeshie8 (ganeshie8):
You may simply count the number of grids between center and the blue circle curve
OpenStudy (samanddean1967):
2
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ganeshie8 (ganeshie8):
Excellent
That's the radius
OpenStudy (samanddean1967):
ok
ganeshie8 (ganeshie8):
So you have center and radius
Simply plug them in the standard form of circle
OpenStudy (samanddean1967):
(x-h)^2+(y-k)^2=2^2
ganeshie8 (ganeshie8):
Yes
Replace h,k by the coordinates of center tio
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OpenStudy (samanddean1967):
(x-0)^2+(y-0)^2=4
ganeshie8 (ganeshie8):
Perfect
OpenStudy (samanddean1967):
is that the answer
ganeshie8 (ganeshie8):
Yep that's it
OpenStudy (samanddean1967):
can I give you the answers for 32-36 too make sure they are right
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ganeshie8 (ganeshie8):
Hey still here?
OpenStudy (samanddean1967):
yes
OpenStudy (samanddean1967):
32. (x-0)^2+(y-0)^2=9
33. (x-0)^2+(y-3)^2=16
34. (x-2)^2+(y-0)^2=36
35. (x-2)^2+(y-2)^2=64
36.(x-1)^2+(y-1)^2=16
ganeshie8 (ganeshie8):
OK let me check
ganeshie8 (ganeshie8):
32 33 are correct
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ganeshie8 (ganeshie8):
What's the radius of the circle in 34?
ganeshie8 (ganeshie8):
Remember radius must be measured from center to the blue circle curve
OpenStudy (samanddean1967):
so ive done all those wrong :(
ganeshie8 (ganeshie8):
Radius is wrong yea
OpenStudy (samanddean1967):
oh
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ganeshie8 (ganeshie8):
33 also has wrong radius
ganeshie8 (ganeshie8):
Try again and see if you can tell me the radius of each
OpenStudy (samanddean1967):
33. 2^2
34. 3^2
35. 4^2
36. 2^2
ganeshie8 (ganeshie8):
Looks great