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  • Draw a circle of radius 4cm. Draw two tangents to the circle inclined at an angle of  to each other   

Draw a circle of radius 4cm. Draw two tangents to the circle inclined at an angle of 60 \degree to each other 

 

 

 

 
 
 
 
 

Answers (1)

radius = 4 cm 

angle b/w tangents = 60 

we know the angle at the center is double the angle between the tangents.

The angle at the center = 2 \times 60 \degree = 120 \degree

Steps for construction 

1) draw a circle with radius 4 cm and center at O 

2) takes a point B on the circumference, join OB 

3) construct angle BOA = 120 such that A is on the circumference of circle 

4) Now we know tangents are perpendicular to the radius at the point of contact. Hence draw 90 angles at points A and B 

5 ) Extend the rays from A and B , the intersecting point will be C 

6) Now AB  and BC will be tangents to the circle and angle between them will be 60 

 

 

Posted by

Ravindra Pindel

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