Mixing
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What are two possible values for AC in the circle?
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Two radii of two concentric circles are $15$ and $7$. $AB$ is a diameter of the larger circle that intersects the smaller circle at $C$ and $D$. Find the two possible values for $AC$. (the questions has no image)
I think one is $8$. I can't figure out the other one.
algebra-precalculus geometry circles
edited Feb 2 at 1:24
AryanSonwatikar
471114
asked Feb 1 at 23:54
harpey1111harpey1111
707
$endgroup$
add a comment |
$begingroup$
Two radii of two concentric circles are $15$ and $7$. $AB$ is a diameter of the larger circle that intersects the smaller circle at $C$ and $D$. Find the two possible values for $AC$. (the questions has no image)
I think one is $8$. I can't figure out the other one.
algebra-precalculus geometry circles
edited Feb 2 at 1:24
AryanSonwatikar
471114
asked Feb 1 at 23:54
harpey1111harpey1111
707
$endgroup$
5
$begingroup$
When you choose C and D, C can be closer to A or closer to B. If C is closer to A, the answer is 8, but if C e closer to B the answer is 22.
$endgroup$
– PierreCarre
Feb 1 at 23:59
2
$begingroup$
Start by drawing a picture.
$endgroup$
– amd
Feb 2 at 0:15
add a comment |
$begingroup$
Two radii of two concentric circles are $15$ and $7$. $AB$ is a diameter of the larger circle that intersects the smaller circle at $C$ and $D$. Find the two possible values for $AC$. (the questions has no image)
I think one is $8$. I can't figure out the other one.
algebra-precalculus geometry circles
edited Feb 2 at 1:24
AryanSonwatikar
471114
asked Feb 1 at 23:54
harpey1111harpey1111
707
$endgroup$
Two radii of two concentric circles are $15$ and $7$. $AB$ is a diameter of the larger circle that intersects the smaller circle at $C$ and $D$. Find the two possible values for $AC$. (the questions has no image)
I think one is $8$. I can't figure out the other one.
algebra-precalculus geometry circles
algebra-precalculus geometry circles
edited Feb 2 at 1:24
AryanSonwatikar
471114
asked Feb 1 at 23:54
harpey1111harpey1111
707
edited Feb 2 at 1:24
AryanSonwatikar
471114
asked Feb 1 at 23:54
harpey1111harpey1111
707
edited Feb 2 at 1:24
AryanSonwatikar
471114
edited Feb 2 at 1:24
AryanSonwatikar
471114
edited Feb 2 at 1:24
AryanSonwatikar
471114
471114
asked Feb 1 at 23:54
harpey1111harpey1111
707
asked Feb 1 at 23:54
harpey1111harpey1111
707
asked Feb 1 at 23:54
harpey1111harpey1111
707
707
5
$begingroup$
When you choose C and D, C can be closer to A or closer to B. If C is closer to A, the answer is 8, but if C e closer to B the answer is 22.
$endgroup$
– PierreCarre
Feb 1 at 23:59
2
$begingroup$
Start by drawing a picture.
$endgroup$
– amd
Feb 2 at 0:15
add a comment |
5
$begingroup$
When you choose C and D, C can be closer to A or closer to B. If C is closer to A, the answer is 8, but if C e closer to B the answer is 22.
$endgroup$
– PierreCarre
Feb 1 at 23:59
2
$begingroup$
Start by drawing a picture.
$endgroup$
– amd
Feb 2 at 0:15
5
5
$begingroup$
When you choose C and D, C can be closer to A or closer to B. If C is closer to A, the answer is 8, but if C e closer to B the answer is 22.
$endgroup$
– PierreCarre
Feb 1 at 23:59
$begingroup$
When you choose C and D, C can be closer to A or closer to B. If C is closer to A, the answer is 8, but if C e closer to B the answer is 22.
$endgroup$
– PierreCarre
Feb 1 at 23:59
2
2
$begingroup$
Start by drawing a picture.
$endgroup$
– amd
Feb 2 at 0:15
$begingroup$
Start by drawing a picture.
$endgroup$
– amd
Feb 2 at 0:15
add a comment |
1 Answer
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Depending on the position of C/D like the comments said, it can be $15-7=8$ or $15+7=22$
Here is the picture btw.
answered Feb 2 at 1:11
abc...abc...
3,242739
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add a comment |
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$begingroup$
Depending on the position of C/D like the comments said, it can be $15-7=8$ or $15+7=22$Here is the picture btw.
answered Feb 2 at 1:11
abc...abc...
3,242739
$endgroup$
add a comment |
$begingroup$
Depending on the position of C/D like the comments said, it can be $15-7=8$ or $15+7=22$Here is the picture btw.
answered Feb 2 at 1:11
abc...abc...
3,242739
$endgroup$
add a comment |
$begingroup$
Depending on the position of C/D like the comments said, it can be $15-7=8$ or $15+7=22$Here is the picture btw.
answered Feb 2 at 1:11
abc...abc...
3,242739
$endgroup$
Depending on the position of C/D like the comments said, it can be $15-7=8$ or $15+7=22$Here is the picture btw.
answered Feb 2 at 1:11
abc...abc...
3,242739
answered Feb 2 at 1:11
abc...abc...
3,242739
answered Feb 2 at 1:11
abc...abc...
3,242739
answered Feb 2 at 1:11
abc...abc...
3,242739
3,242739
add a comment |
add a comment |
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5
$begingroup$
When you choose C and D, C can be closer to A or closer to B. If C is closer to A, the answer is 8, but if C e closer to B the answer is 22.
$endgroup$
– PierreCarre
Feb 1 at 23:59
2
$begingroup$
Start by drawing a picture.
$endgroup$
– amd
Feb 2 at 0:15