Construction of Tangents to a Circle

Draw a circle with radius 4.1 cm. Construct tangents to the circle from a point at a distance 7.3 cm from the centre.

Complete the following activity to draw tangents to the circle.

a. Draw a circle with radius 3.3 cm and center O. Draw chord PQ of length 6.6 cm. Draw ray OP and ray OQ.
b. Draw a line perpendicular to the ray OP from P.
c. Draw a line perpendicular to the ray OQ from Q.

Draw a circle with center P. Draw an arc AB of 100° measure. Perform the following steps to draw tangents to the circle from points A and B.

a. Draw a circle with any radius and center P.
b. Take any point A on the circle.
c. Draw ray PB such ∠APB = 100°.
d. Draw perpendicular to ray PA from point A.
e. Draw perpendicular to ray PB from point B.

Draw tangents to the circle with center ‘C’ and radius 3.6 cm, from a point B at a distance of 7.2 cm from the center of the circle.

Draw a circle with radius 3.3 cm. Draw a chord PQ of length 6.6 cm. Draw tangents to the circle at points P and Q. Write your observation about the tangents

Draw a circle with radius 3 cm. Construct a square such that each of its side will touch the circle from outside

Draw a circle with center O and radius 3 cm. Take point P outside the circle such that d (O, P) = 4.5 cm. Draw tangents to the circle from point P