2) Draw a circle with radius 3.5 cm. Draw the diameter MN. Draw tangent at M and N. Write your observations about the tangent.
Answers
Step-by-step explanation:
Step 1: Draw a circle with centre U with radius 3.3 cm, Mark any point P on it.
Step 2: Draw chord PQ=6.6cm (PQ is the diameter of the circle).
Step 3: Draw rays UX and UY.
Step 4: Draw line l perpendicular to ray UX through point P.
Step 4: Draw line m perpendicular to ray UY through point Q.
Here, line l and m are the required tangents to the circle at points P and Q, respectively.
It can be observed that the tangents l and m are parallel to each other.
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A circle with a radius of 3.5 cm and with a diameter of MN and tangent drawn at M and N is in the attachment below.
The tangents XMY & LNP are parallel to each other.
Concept used:
- As we know that the sum of co - interior angles are supplementary than the two lines must be parallel.
- Diameter = 2 × radius
Given :
Radius = 3.5 cm
To draw :
Draw tangent at M and N
STEPS OF CONSTRUCTION:
1. Draw a circle with Centre O and a radius of 3.5 cm.
2. Draw a diameter MON = 2 × 3.5 = 7 cm .
[Diameter = 2 × radius ]
3. Construct an angle of 90º at M.
4. Again Construct an angle of 90º at N.
Observations about the tangent:
Both the tangents are parallel to each other because the sum of co- interior angles is supplementary.i.e ∠M + ∠N = 180º
Thus, XMY & LNP are the two tangents at M and N to the circle with Centre O. XMY & LNP are parallel to each other.
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