Question
Radius of the circle with center (h, k) and point on the circle (x, y) ____.
Hint:
The radius of circle is the distance between center of circle and any point on the circle. Using distance between two points formula find radius.
The correct answer is:
Consider a circle has radius as and center as 
Let (x, y) be a point on the circle.
The distance between (x, y) and (h, k) is r.
If there are two points 
and 
,then distance between two points is
here 
Therefore, radius of the circle r = .
Related Questions to study
What is the standard equation of the circle with the center (h, k) and radius r?
What is the standard equation of the circle with the center (h, k) and radius r?
What is the equation of the circle if the radius is 4 cm and center is origin?
What is the equation of the circle if the radius is 4 cm and center is origin?
Which theorem is used to derive the standard equation of a circle?
Which theorem is used to derive the standard equation of a circle?
If two chords are congruent then their respective arcs are_____________.
Two figures are said to be congruent if they are identical to each other or they superimpose on each other completely. In a circle two chords will be congruent only if their lengths are equal.
If two chords are congruent then their respective arcs are_____________.
Two figures are said to be congruent if they are identical to each other or they superimpose on each other completely. In a circle two chords will be congruent only if their lengths are equal.
The measure of an inscribed angle is _____________ the measure of its intercepted arc
Intercepted arc is a part of the circle’s circumference which is formed when two lines passes through the circle and meet at a point inside the circle. The angle formed at the point of intersection is called inscribed angle.
The measure of an inscribed angle is _____________ the measure of its intercepted arc
Intercepted arc is a part of the circle’s circumference which is formed when two lines passes through the circle and meet at a point inside the circle. The angle formed at the point of intersection is called inscribed angle.
If two inscribed angles of a circle intercept ____________ Arc, the angles are congruent
If two inscribed angles of a circle intercept ____________ Arc, the angles are congruent
The line which intersects the circle at one point is called_____________
The line which intersects the circle at one point is called_____________
If a tangent and secant, two tangents or two secants intersect outside a circle, then the measure of the angle is one half the _____________ of the measures of the intercepted arcs.
Intercepted arc is a part of the circle’s circumference which is formed when two lines passes through the circle and meet at a point inside the circle. The angle formed at the point of intersection is called inscribed angle.
If a tangent and secant, two tangents or two secants intersect outside a circle, then the measure of the angle is one half the _____________ of the measures of the intercepted arcs.
Intercepted arc is a part of the circle’s circumference which is formed when two lines passes through the circle and meet at a point inside the circle. The angle formed at the point of intersection is called inscribed angle.
Inscribed angle is half the measure of its _____________.
Intercepted arc is a part of the circle’s circumference which is formed when two lines passes through the circle and meet at a point inside the circle. The angle formed at the point of intersection is called inscribed angle.
Inscribed angle is half the measure of its _____________.
Intercepted arc is a part of the circle’s circumference which is formed when two lines passes through the circle and meet at a point inside the circle. The angle formed at the point of intersection is called inscribed angle.
If two chords intersect inside a circle, then the measure of each angle is one half the _____________ of the measures of the arcs intercepted by the angle and its vertical angle.
Vertical angles are a pair of opposite angles which are formed when two lines intersect with each other.
Intercepted arc is a part of the circle’s circumference which is formed when two lines passes through the circle and meet at a point inside the circle. The angle formed at the point of intersection is called inscribed angle.
If two chords intersect inside a circle, then the measure of each angle is one half the _____________ of the measures of the arcs intercepted by the angle and its vertical angle.
Vertical angles are a pair of opposite angles which are formed when two lines intersect with each other.
Intercepted arc is a part of the circle’s circumference which is formed when two lines passes through the circle and meet at a point inside the circle. The angle formed at the point of intersection is called inscribed angle.
