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Areas Related To Circles

Question
CBSEENMA10008578
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Draw a circle of radius 3 cm. From a point 5 cm away from its centre, construct the pair of tangents to the circle.

Solution

Steps of Construction :

(i) Construct a circle C1 (say) of radius 3 cm.
(ii)    P is a point 5 cm away from the centre of circle C1.
(iii)    Join OP.
(iv)    Draw ⊥ bisector of OP which intersects OP at M.

(v)    Taking M as centre and OM as radius draw a circle which intersects the circle C1at A and B.
(vi)    Join PA and PB
(vii)    On, measuring we find PA = PB = 4 cm. Thus PA and PB are the required tangents.

Some More Questions From Areas Related to Circles Chapter

Draw a circle of radius 3 cm. Take two points at a distance 7 cm from its centre. Draw tangents to the circle from these two points P and Q.

Draw a pair of tangents to a circle of radius 5 cm which are inclined to each other at an angle of 60°.

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.

Let ABC be a right angle in which AB = 6 cm, BC = 8 cm and ∠B = 90°. BD is the perpendicular from B on AC. The circle through B, C, D is drawn. Construct the tangents from A to this circle.

Draw a circle with the help of a bangle. Take a point outside the circle. Construct the pair of tangents from this point to the circle.  

Draw a line segment of length 7.6 cm and divide it in the ratio 3 : 5.

Divide the given line segment AB of length 6 cm internally in the ratio 3 : 4.

Divide a line segment 11 cm in the ratio of 2 : 5 (a) internally (b) externally.

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