
What is the 7 circles theorem?
Answer
510.3k+ views
Hint: In this problem, we can see about the seven circles theorem. We should know that in geometry, the seven circles theorem is a theorem about certain arrangements of seven circles in a Euclid’s plane, we can now see about it in a brief way with a diagram.
Complete step by step answer:
Here we can see about the seven circle theorem.
The seven circles theorem is a theorem about certain arrangements of seven circles in a Euclid’s plane specifically given a chain of six circles all tangent to a seventh circle and each tangent to its two neighbours, the three lines drawn between opposite pairs of the points of tangency on the seventh circle all passes through a same point.
The following are the seven circles theorem.
1.The angle at the centre
2. Angles in a semicircle.
3. Angles in the same segment
4. Cyclic quadrilateral
5. Radius to a tangent.
6. Tangents from a point to a circle.
7. Alternate segment theorem.
These are the seven circles theorem.
Note: we should always remember the concept of seven circles theorem that the seven circles theorem is a theorem about certain arrangements of seven circles in a Euclid’s plane specifically given a chain of six circles all tangent to a seventh circle and each tangents to its two neighbours, the three lines drawn between opposite pairs of the points of tangency on the seventh circle all passes through a same point.
Complete step by step answer:
Here we can see about the seven circle theorem.
The seven circles theorem is a theorem about certain arrangements of seven circles in a Euclid’s plane specifically given a chain of six circles all tangent to a seventh circle and each tangent to its two neighbours, the three lines drawn between opposite pairs of the points of tangency on the seventh circle all passes through a same point.
The following are the seven circles theorem.
1.The angle at the centre
2. Angles in a semicircle.
3. Angles in the same segment
4. Cyclic quadrilateral
5. Radius to a tangent.
6. Tangents from a point to a circle.
7. Alternate segment theorem.
These are the seven circles theorem.
Note: we should always remember the concept of seven circles theorem that the seven circles theorem is a theorem about certain arrangements of seven circles in a Euclid’s plane specifically given a chain of six circles all tangent to a seventh circle and each tangents to its two neighbours, the three lines drawn between opposite pairs of the points of tangency on the seventh circle all passes through a same point.
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