## Draw a circle of 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.

Rough figure is given below. Since tangent is perpendicular to radius, OP line l .Also OQ line m.The perpendicular line segments to OP and OQ at point P and Q will give the required tangents at P and Q.Given radius = 3.3 cm.Diameter = 3.3 ×2 = 6.6cm.So chord PQ is the diameter of the circle.The […]

## Draw a circle of radius 3.6 cm. Draw a tangent to the circle at any point on it without using the centre.

Analysis: As shown in the above figure, let line l be the tangent to the circle at point C. Line CB is a chord and CAB is an inscribed angle. Now by tangent- secant angle theorem, CAB BCD.By converse of tangent- secant theorem, if we draw the line CD such that, CAB BCD, then it […]

## Draw a circle of radius 2.7 cm. Draw a tangent to the circle at any point on it.

Rough figure is shown below. We use the property that a line perpendicular to the radius at its outer end is a tangent to the circle.Construction Steps:1.Draw a circle of radius 2.7 cm with centre O. Take any point M on the circle.2. Draw ray PM.3. Draw line l perpendicular to ray PM through point […]

## Construct a tangent to a circle with centre P and radius 3.2 cm at any point M on it.

Rough figure is shown below. We use the property that a line perpendicular to the radius at its outer end is a tangent to the circle.Construction Steps:1.Draw a circle of radius 3.2 cm with centre P. Take any point M on the circle.2. Draw ray PM.3. Draw line l perpendicular to ray PM through point […]