Question

Construct a tangent to a circle of radius 4cm at any point P on its circumference.​

Answer 1

Given :  circle of radius 4cm

To Find : Construct a tangent at any point P on its circumference​

Solution:

Step 1 : take a point O

Step 2 : Using compass width = 4cm and taking O as center draw a circle

Step 3 : Mark a point  P on boundary of circle

Step 4 : Join OP

Step 5 :  Draw a right angle at P  on OP  using protractor / set square

Step 6 : mark a point Q on drawn angle

Step 7 : join OQ

PQ is the required tangent

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Answer 2

Step-by-step explanation:

Steps of construction.

Steps of construction.i. Draw a circle with centre O and radius = 4 cm.

Steps of construction.i. Draw a circle with centre O and radius = 4 cm.ii. Take a point P on the circumference of the circle.

Steps of construction.i. Draw a circle with centre O and radius = 4 cm.ii. Take a point P on the circumference of the circle.iii. Join OP.

Steps of construction.i. Draw a circle with centre O and radius = 4 cm.ii. Take a point P on the circumference of the circle.iii. Join OP.iv. Construct angle OPA = 90o and extend AP to B.

Steps of construction.i. Draw a circle with centre O and radius = 4 cm.ii. Take a point P on the circumference of the circle.iii. Join OP.iv. Construct angle OPA = 90o and extend AP to B.v. Then APB is the required tangent to the circle.