Question

Construct a pair of tangents from a point 5cm away from the center of a circle of radius 3cm.
Measure the lengths of the tangents.​

Answer 1

Given, a circle of radius 3 cm whose Centre is O and a point P ,  5 cm away from its centre.

STEPS OF CONSTRUCTION:

1.Draw circle with O as centre and radius = 3 cm. Take a point P such  that OP= 5 cm.

2. Draw the bisector of OP which intersect OP at M.

3. Taking M as centre and MO as radius, draw a dotted circle. Let this circle cuts the given circuit A and B.

4.Join PA & PB.

5. Thus , PA & PB are the required tangents. By measurement using scale PA= PB = 4 cm.

HOPE THIS WILL HELP YOU...

Answer 2

Given, a circle of radius3

cm whose Centre isOand a point P,5

cm away from its centre.

STEPS OF CONSTRUCTION:

1.Draw circle with O

as centre and radius

=

3cm.

Take a point

Psuch that

OP=

5cm.

2.Draw the bisector ofOP

which intersectOPatM.

3.Taking M as centre and MO as radius, draw a dotted circle. Let this circle cuts the given circle A and B.

4.Join PA & PB.

5.Thus , PA & PB

are the required tangents. By measurement using scale

PA=

PB=

4cm.