Q7 of 805 Page 13

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°.


Steps of Construction:


1. Draw a circle with center O and radius = 4.2 cm.



2. Draw any diameter AOB of this circle.



3. Construct ∠ AOE = 45°, such that radius OE meets the circle at E.



4. Draw BF perpendicular to AB and GE perpendicular to OE.



5. Let BF and EG intersect at P.



Thus, PE and PB are the required tangents to the given circle inclined at an angle of 45°.


More from this chapter

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5

Draw a circle with the help of a bangle. Take any point P outside the circle. Construct the pair of tangents from the point P to the circle. HINT See Example 6.

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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.

 8

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°.

 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°.