Question:
Draw a circle of radius 4.5 cm. Take a point P on it. Without using the centre of the circle, draw a tangent to the circle at point P.
Answer:
Given, radius of the circle = 4.5 cm
Construction:
1. Draw a circle of radius of 4.5 cm
2. Take a point P outside of the circle and take two chords QR and ST.
3. Draw perpendicular bisectors of these chords and let they intersect at point O
4. Join PO and bisect it.
5. Let U is the mid-point of PO.
6. Now, taking U as a centre, draw a circle of radius OU which intersects the circle at V and W.
7. Join PV and PW.
Now, PV and PW are the required tangents.
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