The website has the complete lesson note for all the subjects in secondary school but this piece showcases the JSS1 Basic Technology Lesson Note on Tangent and Normal to a Circle. You can use the website search button to filter out the subject of interest to you.
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TOPIC: CIRCLES (cont’d)
SUB-TOPICS:
- Tangent and Normal to a circle
- 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
- Draw the circle with center O
- Mark the given point A on the circumference
- Join OA and extends it outwards
- With A as center and radius OA, draw an arc to cut the extended line at B
- The perpendicular bisector of OB is the required tangent
- 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
- Draw the given circle with center O
- Locate point A outside the circle
- Draw line OA
- Construct a semicircle on OA to intersect the given circle at B
- Line AB is the required tangent to the circle
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