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What is the segment OP of a circle?
if O is the center of the circle and P is on its circumference, then OP is a radius
Why is it that a quadrilateral can be inscribed in a circle if and only if its opposite angles are supplementary?
Because of one of the Circle Theorems that states that the angle subtended by any arc at the centre of the circle is half that at the circumference. A rough version of the proof follows: Suppose the quadrilateral ABCD is inscribed in a circle with centre O. Join AO and CO. This partitions the circumference into two arcs - both AC but going around different sides of the centre. One of the arcs AC, subtends angle B at the circumference and suppose the angle subtended by the same arc at O is X. Then 2B = X The other arc AC subtends angle D at the circumference and suppose the angle subtended by the same arc at O is Y. Then 2D = Y So 2B + 2D = X + Y But X + Y = 360 degrees. So B + D = 180 that is, B and D are supplementary. And then, since A+B+C+D = 360, A + C = 180. The converse can be proved similarly.
What is the locus of the centers of circles that are tangent to a given circle O at a given point A on circle O?
Join the centre of the circle O and the point A .Extend it to both sides to form a line.This is the required locus
If a circle is inscribed in a square what is true?
all the points in the inscribed circle are also in the bigger circle. If all the points in the outside circle are the set O ... and all the points in the inner circle are the set I... Then I is a subset of O, just like a venn diagram
What kind of number is pie?
the number is spelled pi, not pie. Pie is a food, pi is different.Pi is an irrational number (number which doesn't end) which is the ratio to the circumference o f a circle to its diameter.Some beginning numbers of pi are: 3.14159265358979323846264338327950288419716939937510...and so on
