JSS2 Basic Technology Lesson Note on Tangent and Normal to a Circle

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TOPIC: CIRCLES (cont’d)

SUB-TOPICS:

1. Tangent and Normal to a circle
2. Construction of Tangent and Normal to a circle

Content Development (NOTES FOR FIRST LESSON/PERIOD ONE)

Sub-Topic I:  Tangent and Normal to a Circle

A tangent is a straight line that touches the circumference of a circle. It is usually at right angles to the radius of the circle.

A normal is a straight line which joins the center of a circle to the tangent at the point of tangency.

Evaluation    

Draw a circle indicating its tangent and normal to the tangent

Content Development (NOTES FOR SECOND LESSON/PERIOD TWO)

Sub-Topic II: Construction of Tangent and Normal to a circle

Tangent to a circle from a point on the circumference

Steps

1. Draw the circle with center O
2. Mark the given point A on the circumference

• Join OA and extends it outwards

1. With A as center and radius OA, draw an arc to cut the extended line at B
2. The perpendicular bisector of OB is the required tangent
3. CD is the tangent to the circle at point A while OB is the normal

Tangent to a circle from a given point outside the circle

Steps

1. Draw the given circle with center O
2. Locate point A outside the circle
3. Draw line OA
4. Construct a semicircle on OA to intersect the given circle at B
5. Line AB is the required tangent to the circle

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