Q8 of 805 Page 13

Write the steps of construction for drawing a pair of tangents to a circle of radius 3 cm, which are inclined to each other at an angle of 60°.


Steps Construction:


1. Draw a circle of radius 3 cm with center A.



2. Draw a diameter CD of the circle.



3. Draw ∠ CAE = 60° such that the E lies on the circle and AE is a radius of the circle.



4. Draw DF perpendicular to CD.



5. Draw EG perpendicular to AE such that it intersects DF at G.



Thus, GE and GD are the required tangents to the circle inclined at an angle of 60°.


More from this chapter

All 805 →
6

Draw a line segment AB of length 8 cm. Taking A as centre, draw a circle of radius 4 cm and taking B as centre, draw another circle of radius 3 cm. Construct tangents to each circle from the centre of the other circle.

 7

Draw a circle of radius 4.2 cm. Draw a pair of tangents to this circle inclined to each other at an angle of 45°.

 9

Draw a circle of radius 3 cm. Draw a tangent to the circle making an angle of 30° with a line passing through the centre.

HINT: Draw a circle with centre O and radius 3 cm. Draw a radius OA and produce it to B. Make ∠AOP = 60o. Draw PQ ⊥ OP, meeting OB at Q. Then, PQ is the desired tangent such that ∠OQP = 30°.



 10

Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and measure its length. Also, verify the measurement by actual calculation.