Question

how many pairs of equidistant points can be drawn from an exterior point of a circle​

Answer 1

Answer:

Definition: A circle is the set of all points in a plane that are equidistant from

a given point called the center of the circle. We use the symbol to represent

a circle.

The a line segment from the center of the circle to any point on the circle is a

radius of the circle. By definition of a circle, all radii have the same length. We

also use the term radius to mean the length of a radius of the circle.

To refer to a circle, we may refer to the circle with a given center and a given

radius. For example, we can say circle O with radius r.

O

r

The circumference of a circle is the length around the circle.

A central angle of a circle is an angle that is formed by two radii of the circle

and has the center of the circle as its vertex. In other words, a central angle

always has its vertex as the center of the circle.

An arc is a connected portion of a circle. An arc that is less than half a circle is

a minor arc. An arc that is greater than half a circle is a major arc, and an

arc that’s equal to half a circle is a semi-circle.

By definition, the degree measure of an arc is the central angle that intercepts

the arc.

We use two letters with an arc symbol on top to refer to a minor arc, and three

letters for a major arc.

A chord is an line segment that has any two points on the circumference as its

end-points. A chord always lies inside a circle.

A diameter of a circle is a chord that contains the center of the circle.

A secant is a line that intersects the circle at two points

Step-by-step explanation:

For the circle above, ∠EOB is a central angle. So is ∠DOE

DEù is a minor arc. The central angle ∠DOE is the angle that intercepts this

arc. The (degree) measure of DEù is the measure of ∠DOE.

DCB üis a major arc.

CBù is a semi-circle.

CB is a diameter.

DE is a chord.

F A is a secant.

By definition, two circles are congruent if their radii are congruent. Two arcs are

congruent if they have the same degree measure and same length.

Postulates and/or facts: For circles that are congruent or the same:

All radii are congruent

All diameters are congruent

A diameter of a circle divides the circle into two equal arcs (semi-

circles). Conversely, If a chord divides the circle into two equal arcs,

then the chord is a diameter

Congruent central angles intercept congruent arcs, and conversely, con-

gruent arcs are intercepted by congruent central angles.

Congruent chords divide congruent arcs, and conversely, Congruent arcs

have congruent chords.