Draw a circle of radius 3cm .Take a point P outside A. Without using the centre of the circle .Draw two tangents to the circle from point P.
Dear student,
Given: A point P is outside the circle of radius 3 cm.
Required: To draw two tangents to the circle from the point P, without the use of center.
Steps of constructing :
(i) Draw a circle of radius 3 cm.
(ii) Take a point P outside the circle and draw a secant PAB, intersecting the circle at A and B.
(iii) Produce AP to C such that AP = CP.
(iv) Draw a semicircle, with CB as a diameter.
(v) Draw PD perpendicular to AB, intersecting the semi-circle AT D.
(vi) With PD as radius and P as center draw two arcs to intersect the given circle at T and T’.
(vii) Joint PT and PT’. Which are the required tangents.
Regards!
Given: A point P is outside the circle of radius 3 cm.
Required: To draw two tangents to the circle from the point P, without the use of center.
Steps of constructing :
(i) Draw a circle of radius 3 cm.
(ii) Take a point P outside the circle and draw a secant PAB, intersecting the circle at A and B.
(iii) Produce AP to C such that AP = CP.
(iv) Draw a semicircle, with CB as a diameter.
(v) Draw PD perpendicular to AB, intersecting the semi-circle AT D.
(vi) With PD as radius and P as center draw two arcs to intersect the given circle at T and T’.
(vii) Joint PT and PT’. Which are the required tangents.
Regards!