Q21 of 28 Page 12

Draw two concentric circles with centre O and radii 2 cm and 4 cm. From a point on the outer circle draw a tangent to the inner circle.

Step1: Draw a circle of radius 2 cm with centre O by taking 2 cm in compass. This is the inner circle



Step2: Now take 4 cm in compass keep the needle on point O and draw a circle. This is the outer circle. Take any point P on the outer circle



Now we have to draw a tangent from point P to the inner circle. This is the same as drawing tangents to circle from an external point.


Step4: Join OP and using scale mark the midpoint of OP which will lie on the inner circle



Step5: Take the distance MO in compass keep the needle on point M and mark arcs cutting the inner circle at point Q and T as shown



Step6: Construct a line passing through PQ and PT which are the required tangents



More from this chapter

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19

Draw a circle of radius 5cm. Take a point P on the circle. Draw the tangent of the circle at point P without using the centre of the circle.

 20

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

 22

Draw a circle of radius 4cm form a point on the concentric circle of radius 6cm and measure its length. Also, verify the measurement by actual calculation.

 23

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