0
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?
Wiki User
∙ 14y ago
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
Wiki User
∙ 14y ago
Add your answer:
Earn +20 pts
Find the slope of a tangent line to the graph?
Use the four-step process to find the slope of the tangent line to the graph of the given function at any point.
How do you find the area of a circle when the radius is unknown?
By using the other information supplied about the circle to calculate either its radius (from which its area can be calculated) or its area (if the circle is similar to another with a given area and some ratio between the two circle is given):If the diameter is given: radius = diameter ÷ 2If the circumference is given: radius = circumference ÷ 2πIf the circle is similar to another circle which has a given area, and the length ratio is given; square the length ratio to get the area ratio and apply to the given area.
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 formula for the diameter or a circle?
If you are given the radius of the circle, you can use the formula: diameter = 2*radius If you are given the circumference of the circle, you can use the formula: diameter = circumference/pi
What geometric figure consist of all points in plane that are at a given and equal distance from a given point in the plane?
That's a circle.It is a circleThat's a circle.
A line that is tangent to two circles?
... touches each circle in exactly one point on each circle. given any two circles where none is entirely inside or inside and tangent to the other, there are at most four straight lines that are tangent to both circles.
What is Tangent in geometry?
A tangent is a straight line that touches the circumference of a circle at a given point
If a circle is tangent to each side of a given polygon then?
the circle is inscribed in the polygon :]
In circle A below the radius is 3 and BC is tangent to the circle. Find BC?
Not enough information has been given to find the tangent BC but it will be perpendicular or at right angles to the radius of the circle.
A large circle has a radius of 10cm Given four congruent circles tangent to one another within the large circle what is the radius of the largest circle which will fit in the middle?
Letting x be radius of the 4 circles, then (squareroot(2x^2))+x=10, or x(1+sqrt2)=10. Then radius of circle in middle is ((2*10)-4x)/2. So I get radius of circle in middle = 1.715729 approximately.
How do you find the center of a circle with two given points?
If you're only given two points, and you're told that they both lie on a circle,then there are an infinite number of possible circles, and therefore an infinitenumber of possible centers. In order to pin it down, you need three points.
How do you construct a line tangent through a circle through a point outside the circle?
The tangent line only touches the outside of a circle at one given point. So an outside line perpendicular to the circle's diameter at 90 degrees should do.
How many lines can be drawn through a given point on a circle that is tangent to the circle?
Infinite lines because a circle has infinite lines of symmetry.
Does a trigonometry tangent relate to a circle's tangent?
A circle's tangent is exactly the same as a triangle's tangent. If you look at a circle, you can make the radius the hypotenuse. Then make a vertical line from the point, and a horizontal line from the center. If you look, you have a triangle made inside the circle. This is why angles can be measured in radians, a unit that is derived from the circumference of a circle.-------------------------------------------------------------------------------------------By doing a little calculus, we find that the slope of the equation of a circle-the slope of the tangent line-is given by the tangent of an angle.AnswerEverything written above is correct, but doesn't have anything to do with tangents (in the circle sense of the word). Suppose you're given an angle theta. Draw a circle together with two radii, one horizontal and the other at an angle theta from the first one. (So far, this is the same as above.) Now draw the tangent to the circle at X, the point where the non-horizontal radius meets the circumference. Let Y be the point where this tangent meets the horizontal line through the centre. Then, assuming the radius is 1, tan(theta) is the distance XY, which is the length of part of the tangent.
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.
True or false Circles circumscribed about a given triangle will all have centers equal to the incenter but can have different radii?
False
If two chords of a given circle are congruent then they must?
be equidistant from the center of the circle. APEX!
