Question 4
Construct a tangent to a circle of radius 4 cm from a point which is at a distance of 6 cm from its centre.
Thinking process
1. Firstly taking the perpendicular bisector of the distance from the centre to the external point. After that taking one half of bisector as radius and draw a circle.
2. Drawing circle intersect the given circle at two points Now, meet these intersecting point to an external point and get the required tangents.
Question 4
Construct a tangent to a circle of radius 4 cm from a point which is at a distance of 6 cm from its centre.
Thinking process
1. Firstly taking the perpendicular bisector of the distance from the centre to the external point. After that taking one half of bisector as radius and draw a circle.
2. Drawing circle intersect the given circle at two points Now, meet these intersecting point to an external point and get the required tangents.
Given, a point M’ is at a distance of 6 cm from the centre of a circle of radius 4 cm.
Steps of construction
1. Draw a circle of radius 4 cm Let centre of this circle is O.
2. Join OM’ and bisects it let M be mid-point of OM’.
3. Taking M as centre and MO as radius draw a circle to intersect circle ( 0.4) at two points, P and Q.
4. Join PM’ and QM’ PM’ and QM’ are the required tangents from M’ to circle C (0.4)
Given, a point M’ is at a distance of 6 cm from the centre of a circle of radius 4 cm.
Steps of construction
1. Draw a circle of radius 4 cm Let centre of this circle is O.
2. Join OM’ and bisects it let M be mid-point of OM’.
3. Taking M as centre and MO as radius draw a circle to intersect circle ( 0.4) at two points, P and Q.
4. Join PM’ and QM’ PM’ and QM’ are the required tangents from M’ to circle C (0.4)
