how to find circle circumference point from a point inside the circle
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given the image bellow how can i find the points of a circles circumference from a point inside the circle with given X and Y ? also can how to calculate it from a point outside the cirlce ?
https://i.stack.imgur.com/0fv9G.png
geometry trigonometry circles
asked Jan 14 at 9:51
AleksanderAleksander
11
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add a comment |
$begingroup$
given the image bellow how can i find the points of a circles circumference from a point inside the circle with given X and Y ? also can how to calculate it from a point outside the cirlce ?
https://i.stack.imgur.com/0fv9G.png
geometry trigonometry circles
asked Jan 14 at 9:51
AleksanderAleksander
11
$endgroup$
$begingroup$
Your Question seems unclear, What is 'Circumference Point'? As Far I know Circumference is defined as length, but You seem to ask the Circumference of something which is not even a curve. Please Provide details
$endgroup$
– Abhas Kumar Sinha
Jan 14 at 10:13
add a comment |
$begingroup$
given the image bellow how can i find the points of a circles circumference from a point inside the circle with given X and Y ? also can how to calculate it from a point outside the cirlce ?
https://i.stack.imgur.com/0fv9G.png
geometry trigonometry circles
asked Jan 14 at 9:51
AleksanderAleksander
11
$endgroup$
given the image bellow how can i find the points of a circles circumference from a point inside the circle with given X and Y ? also can how to calculate it from a point outside the cirlce ?
https://i.stack.imgur.com/0fv9G.png
geometry trigonometry circles
geometry trigonometry circles
asked Jan 14 at 9:51
AleksanderAleksander
11
asked Jan 14 at 9:51
AleksanderAleksander
11
asked Jan 14 at 9:51
AleksanderAleksander
11
asked Jan 14 at 9:51
AleksanderAleksander
11
asked Jan 14 at 9:51
AleksanderAleksander
11
11
$begingroup$
Your Question seems unclear, What is 'Circumference Point'? As Far I know Circumference is defined as length, but You seem to ask the Circumference of something which is not even a curve. Please Provide details
$endgroup$
– Abhas Kumar Sinha
Jan 14 at 10:13
add a comment |
$begingroup$
Your Question seems unclear, What is 'Circumference Point'? As Far I know Circumference is defined as length, but You seem to ask the Circumference of something which is not even a curve. Please Provide details
$endgroup$
– Abhas Kumar Sinha
Jan 14 at 10:13
$begingroup$
Your Question seems unclear, What is 'Circumference Point'? As Far I know Circumference is defined as length, but You seem to ask the Circumference of something which is not even a curve. Please Provide details
$endgroup$
– Abhas Kumar Sinha
Jan 14 at 10:13
$begingroup$
Your Question seems unclear, What is 'Circumference Point'? As Far I know Circumference is defined as length, but You seem to ask the Circumference of something which is not even a curve. Please Provide details
$endgroup$
– Abhas Kumar Sinha
Jan 14 at 10:13
add a comment |
2 Answers
2
active
oldest
votes
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If $(x_0, y_0)$ is the centre of the circle and if $R$ is the ray, then the points of the circle can be represented as $(x_0 + R,costheta, ,y_0 + R,sintheta)$
The point inside or outside the circle can be represented as $M = (x_0 + rho ,cosphi,, y_0 + rho, sinphi)$
Then, the nearest point from $M$ on the circle is:
$$ A = (x_0 + R ,cosphi,, y_0 + R, sinphi)$$
I guess this corresponds to your question ... which was not so clear
answered Jan 14 at 10:39
DamienDamien
63714
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add a comment |
$begingroup$
Three given points are vertices of a triangle $triangle.$ The center of the circumcircle of $triangle;$ is the intersection of line bisectors of the sides of $triangle.$ To find the center, it suffices to take two of the bisectors.
The point of the circle that is nearest to a given point lies on the diameter through the center and the given point. It is the red point at the picture.
answered Jan 14 at 12:45
user376343user376343
3,9834829
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2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
If $(x_0, y_0)$ is the centre of the circle and if $R$ is the ray, then the points of the circle can be represented as $(x_0 + R,costheta, ,y_0 + R,sintheta)$
The point inside or outside the circle can be represented as $M = (x_0 + rho ,cosphi,, y_0 + rho, sinphi)$
Then, the nearest point from $M$ on the circle is:
$$ A = (x_0 + R ,cosphi,, y_0 + R, sinphi)$$
I guess this corresponds to your question ... which was not so clear
answered Jan 14 at 10:39
DamienDamien
63714
$endgroup$
add a comment |
$begingroup$
If $(x_0, y_0)$ is the centre of the circle and if $R$ is the ray, then the points of the circle can be represented as $(x_0 + R,costheta, ,y_0 + R,sintheta)$
The point inside or outside the circle can be represented as $M = (x_0 + rho ,cosphi,, y_0 + rho, sinphi)$
Then, the nearest point from $M$ on the circle is:
$$ A = (x_0 + R ,cosphi,, y_0 + R, sinphi)$$
I guess this corresponds to your question ... which was not so clear
answered Jan 14 at 10:39
DamienDamien
63714
$endgroup$
add a comment |
$begingroup$
If $(x_0, y_0)$ is the centre of the circle and if $R$ is the ray, then the points of the circle can be represented as $(x_0 + R,costheta, ,y_0 + R,sintheta)$
The point inside or outside the circle can be represented as $M = (x_0 + rho ,cosphi,, y_0 + rho, sinphi)$
Then, the nearest point from $M$ on the circle is:
$$ A = (x_0 + R ,cosphi,, y_0 + R, sinphi)$$
I guess this corresponds to your question ... which was not so clear
answered Jan 14 at 10:39
DamienDamien
63714
$endgroup$
If $(x_0, y_0)$ is the centre of the circle and if $R$ is the ray, then the points of the circle can be represented as $(x_0 + R,costheta, ,y_0 + R,sintheta)$
The point inside or outside the circle can be represented as $M = (x_0 + rho ,cosphi,, y_0 + rho, sinphi)$
Then, the nearest point from $M$ on the circle is:
$$ A = (x_0 + R ,cosphi,, y_0 + R, sinphi)$$
I guess this corresponds to your question ... which was not so clear
answered Jan 14 at 10:39
DamienDamien
63714
answered Jan 14 at 10:39
DamienDamien
63714
answered Jan 14 at 10:39
DamienDamien
63714
answered Jan 14 at 10:39
DamienDamien
63714
63714
add a comment |
add a comment |
$begingroup$
Three given points are vertices of a triangle $triangle.$ The center of the circumcircle of $triangle;$ is the intersection of line bisectors of the sides of $triangle.$ To find the center, it suffices to take two of the bisectors.
The point of the circle that is nearest to a given point lies on the diameter through the center and the given point. It is the red point at the picture.
answered Jan 14 at 12:45
user376343user376343
3,9834829
$endgroup$
add a comment |
$begingroup$
Three given points are vertices of a triangle $triangle.$ The center of the circumcircle of $triangle;$ is the intersection of line bisectors of the sides of $triangle.$ To find the center, it suffices to take two of the bisectors.
The point of the circle that is nearest to a given point lies on the diameter through the center and the given point. It is the red point at the picture.
answered Jan 14 at 12:45
user376343user376343
3,9834829
$endgroup$
add a comment |
$begingroup$
Three given points are vertices of a triangle $triangle.$ The center of the circumcircle of $triangle;$ is the intersection of line bisectors of the sides of $triangle.$ To find the center, it suffices to take two of the bisectors.
The point of the circle that is nearest to a given point lies on the diameter through the center and the given point. It is the red point at the picture.
answered Jan 14 at 12:45
user376343user376343
3,9834829
$endgroup$
Three given points are vertices of a triangle $triangle.$ The center of the circumcircle of $triangle;$ is the intersection of line bisectors of the sides of $triangle.$ To find the center, it suffices to take two of the bisectors.
The point of the circle that is nearest to a given point lies on the diameter through the center and the given point. It is the red point at the picture.
answered Jan 14 at 12:45
user376343user376343
3,9834829
answered Jan 14 at 12:45
user376343user376343
3,9834829
answered Jan 14 at 12:45
user376343user376343
3,9834829
answered Jan 14 at 12:45
user376343user376343
3,9834829
3,9834829
add a comment |
add a comment |
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$begingroup$
Your Question seems unclear, What is 'Circumference Point'? As Far I know Circumference is defined as length, but You seem to ask the Circumference of something which is not even a curve. Please Provide details
$endgroup$
– Abhas Kumar Sinha
Jan 14 at 10:13