0
What is the maximum number of distinct intersections of 30 different coplanar circles?
No two circles can intersect more than twice.
Each circle can intersect with each other circle.
Thus there ought to be 2 × 30 × (30 - 1) intersections.
However, this counts each intersection twice: once for each circle.
Thus the answer is half this, giving:
maximum_number_of_intersections = ½ × 2 × 30 × (30 - 1) = 30 × 29 = 870.
Add your answer:
Earn +20 pts
What are coplanar circles with the same center?
They're concentric circles. But I don't think they even need to be coplanar in order to be concentric.
What are two coplanar circles that intersect at exactly one point?
Tangent circles.
What are coplanar circles that have a common center?
If they have a common centre, they are concentriccircles.
Do we need to use circles and rectangles in venn diagram?
No, the sets and subsets can be any shape, but circles and rectangles are neater. Also, circles or rectangles will usually intersect in only one part whereas very wriggly shapes can have multiple intersections.
What shape has two edges?
The intersections of two circles produces a lens shaped area with two edges. It looks like the shape of the shadow of an American football
What are coplanar circles with the same center?
They're concentric circles. But I don't think they even need to be coplanar in order to be concentric.
What are coplanar circles that intersect in one point called?
Tangential circles.
What refers to two or more coplanar circles with a common center?
Difficult to tell since there is nothing following. My guess is concentric, but that does not require the circles to be coplanar.
When are two coplanar circles concentric?
When the centers of both the circles are at the same point.
Are coplanar circles that have the same center called concentric circles?
Concentric Circle
What are two coplanar circles that intersect at exactly one point?
Tangent circles.
What describes coplanar circles that intersect in exactly one point?
Tangential circles.
What two coplanar circles have four common tangents?
Any two non-overlapping circles.
What are coplanar circles that have a common center?
If they have a common centre, they are concentriccircles.
Circles that lie in the same plane and have the same center?
They're definitely similar, concentric, and coplanar. They're not necessarily congruent, but they could be.
Do we need to use circles and rectangles in venn diagram?
No, the sets and subsets can be any shape, but circles and rectangles are neater. Also, circles or rectangles will usually intersect in only one part whereas very wriggly shapes can have multiple intersections.
What is the maximum number of points of intersection when three distinct circles and four distinct lines?
discuss the possible number of points of interscetion of two distinct circle
