Question

Draw a circle of radius 4.2cm.Draw a tangent to the circle at any point on it without using the centre of a circle

Answer 1

Steps of construction: 
1) Take point O and draw a circle of radius 4.2 cm. 
2) Take any point P out side the circle. 
3) Through the external point P draw a straight line PBA meet the given circle at A and B. 
4) With AP as diameter , draw a semicircle.
 5) Draw BC ⊥ AP, which intersects the semicircle at C.
6) With P as centre and radius PC draw an arc cutting the given circle at Q .Join PQ Then PQ is the required tangent. 

Justification: It touches the circle then it is a tangent.



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Answer 2

Drawn a circle of radius 4.2 cm & Tangent

Step-by-step explanation:

Step1  -Mark a point O

Step 2 : Using O as center & taking compass width = 4.2 cm , Draw a circle

Step 3 : Mark a point P on Circle circumference

Step 4 : Join OP

Step 5 : Draw a right angle at P on OP using Protector / set square and extend line on both sides

Line is  tangent to circle touching at point P

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