# Draw a line segment AB of length 8 cm. Taking A as centre, draw a circle of radius 4 cm

Question:

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.

Solution:

Given that

Construct a circle of radius , and extended diameter each at distance of 7cm from its centre. Construct the pair of tangents to the circle from these two points .

We follow the following steps to construct the given Step of construction

Step: I First of all we draw a line .

Step: II taking as a centre and draw a circle of radius . Similarly, taking as a centre and draw a circle of radius .

Step: III draw the perpendicular bisector of Step IV : draw the another circle with taking the bisector point as centre and radius = mid point of which cut the point Step: V joins and respectively. as well as to obtain the require tangents.

Thus, are the required tangents.