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Areas Related to Circles
Question
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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.  

Answer

Steps of Construction :
(i)    Draw a circle with the help of bangle.
(ii)    Draw two chords AB and AC. Perpendi-cular bisectors of AB and AC intersect each other at O, which is the centre of the circle.

(iii)    Taking a point P outside the circle, join OP.
(iv)    Let M be the midpoint of OP. Taking M as centre and OM as radius draw a dotted circle which intersect the given circle at Q and R.
(v)    Join PQ and PR. Thus, PQ and PR are required tangents.

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Some More Questions From Areas Related to Circles Chapter

Draw a circle of radius 6 cm. From a point 10 cm away from its centre, construct the pair of tangents to the circle and measure their lengths.

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.