Construction of Tangent to a Circle – Different Procedures, and FAQs

# Construction of Tangent to a Circle – Different Procedures, and FAQs

## Construction of Tangent to a Circle

A Tangent Circle is a circle that is tangent to another circle. The radius of the Tangent Circle is the same as the radius of the other circle.

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## At a Particular Point of the Circle with Centre O:

If we take a point P on the circle with centre O, then the distance from P to O is the radius of the circle.

The angle between the radius OP and the tangent PT is the tangent angle of the circle at P.

## At a Point Outside The Circle:

A point outside a circle is a point that is not on the circle. If you imagine a dot on a piece of paper and then draw a circle around that dot, any point that is not on the line connecting the dot to the edge of the circle is considered to be outside the circle.

## Construction of Tangents When NO Centre is Given:

Given two points, P(x 1 , y 1 ) and Q(x 2 , y 2 ), construct the tangent to the curve at P.

Draw a line perpendicular to the x-axis passing through P. This line intersects the curve at a point Q’.

The tangent to the curve at P is the line through Q’ and P.

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