Mathematics
Grade9
Easy

Question

Radius of the circle with center (h, k) and point on the circle (x, y) ____.

  1. square root of left parenthesis x minus h right parenthesis squared plus left parenthesis y minus k right parenthesis squared end root
  2. square root of left parenthesis x minus h right parenthesis squared plus y squared end root
  3. square root of left parenthesis x plus h right parenthesis squared plus left parenthesis y minus k right parenthesis squared end root
  4. square root of left parenthesis x minus h right parenthesis squared plus left parenthesis y plus k right parenthesis squared end root

hintHint:

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: square root of left parenthesis x minus h right parenthesis squared plus left parenthesis y minus k right parenthesis squared end root


    Consider a circle has radius as  and center as left parenthesis h comma k right parenthesis spaceLet (x, y) be a point on the circle.
    The distance between (x, y) and (h, k) is r.
    If there are two points left parenthesis x subscript 1 comma y subscript 1 right parenthesis and left parenthesis x subscript 2 comma y subscript 2 right parenthesis ,then distance between two points is
    Error converting from MathML to accessible text. here Error converting from MathML to accessible text.
    Therefore, radius of the circle r = square root of left parenthesis x minus h right parenthesis squared plus left parenthesis y minus k right parenthesis squared end root .

    Related Questions to study

    Grade9
    Mathematics

    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?

    MathematicsGrade9
    Grade9
    Mathematics

    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?

    MathematicsGrade9
    Grade9
    Mathematics

    text In circle equation x end text squared plus y squared equals r squared comma space space r space i s space d e n o t e d space b y

    text In circle equation x end text squared plus y squared equals r squared comma space space r space i s space d e n o t e d space b y

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

    Which theorem is used to derive the standard equation of a circle?

    Which theorem is used to derive the standard equation of a circle?

    MathematicsGrade9
    Grade9
    Mathematics

    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_____________.

    MathematicsGrade9

    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.

    Grade9
    Mathematics

    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

    MathematicsGrade9

    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.

    parallel
    Grade9
    Mathematics

    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

    MathematicsGrade9
    Grade9
    Mathematics

    The line which intersects the circle at one point is called_____________

    The line which intersects the circle at one point is called_____________

    MathematicsGrade9
    Grade9
    Mathematics

    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.

    MathematicsGrade9

    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.

    parallel
    Grade9
    Mathematics

    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 _____________.

    MathematicsGrade9

    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.

    Grade9
    Mathematics

    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.

    MathematicsGrade9

    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.

    Grade9
    Mathematics

    If two lines intersect a circle, there are _____________ where the lines can intersect.

    If two lines intersect a circle, there are _____________ where the lines can intersect.

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

    What is the values of x + x

    What is the values of x + x

    MathematicsGrade9
    Grade9
    Mathematics

    If one chord is a perpendicular bisector of another chord, Then the first chord __________.

    If one chord is a perpendicular bisector of another chord, Then the first chord __________.

    MathematicsGrade9
    Grade9
    Mathematics

    Arcs are equal if and only their corresponding ______ are equal

    Arcs are equal if and only their corresponding ______ are equal

    MathematicsGrade9
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.