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Which of the circles have their centers in the third quadrant?
(x + 9)2 + (y + 12)2 = 36 (x + 16)2 + (y + 3)2 = 17
Prove that if chords of congruent circles subtend equal angles at their centers then the chords are equal?
let the two circles with centre O and P are congruent circles, therefore their radius will be equal. given: AB and CD are the chords of the circles with centres O and P respectively. ∠AOB=∠CPD TPT: AB=CD proof: in the ΔAOB and ΔCPD AO=CP=r and OB=PD=r ∠AOB=∠CPD therefore by SAS congruency, ΔAOB and ΔCPD are congruent triangle. therefore AB=CD
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
What are circles with the same radius?
Circles with the same radius are congruent circles.
What are Circles having same centre but different radii called?
Concentric circles are circles with the same common centre.
When are two coplanar circles concentric?
When the centers of both the circles are at the same point.
Which point is not located on the xaxis or the yaxis of a coordinate grid?
Which point is not located on the xaxis or the yaxis of a coordinate grid?Read more:Which_point_is_not_located_on_the_xaxis_or_the_yaxis_of_a_coordinate_grid
What are concentrict circles?
They're circles that may have different sizes but their centers are at the same point.
What is a tangent intersecting the segment joining the centers of the two circles?
They are the common tangents to the circles.
Define common internal tangent of 2 circles?
it intersects the segment joining the centers of two circles
Does a square have a center or do only circles have centers?
A square does have a centre.
What are externally tangent circles?
Externally tangent circles are two circles that touch each other at exactly one point, with their centers lying on opposite sides of the point of contact. This point of tangency is the only point where the circles intersect, and they do not overlap. The distance between their centers is equal to the sum of their radii.
How do you find an internal tangent of 2 circles?
you draw a triangle formed by the centers of the two circles and use pythagoean theorem
What is the value of the coordinate of every point on the xaxis?
It is called the ordinate.
How do you construct a transverse common tangent to two circles?
To construct a transverse common tangent to two circles, first draw a line connecting the centers of the two circles. Then, find the points where this line intersects the circles. From each intersection point, draw a line perpendicular to the line connecting the centers; these lines will intersect outside the circles. The lines connecting the intersection points of the tangents to the circles will form the transverse common tangents.
Which of the following circles have their centers in the second quadrant?
clarify your question a bit man !
Circles circumscribed about a given triangle will all have centers equal to the incenter but can have different radii?
Yes, that is correct. Circles circumscribed about a given triangle will have centers that are equal to the incenter, which is the point where the angle bisectors of the triangle intersect. However, the radii of these circles can vary depending on the triangle's size and shape.
