Question

Draw a circle with the help of a circular bangle. Construct two tangents to this circle through a point in the exterior of the circle.

Answer 1

Hello ,

Steps of construction:

1. put a bangle on paper and with the help of pencil draw around the perimeter of the circle.
2. Now mark any two points on the perimeter of the circle .
3. with the help of scale draw a straight line which touches the exterior of the circle.
4. These two lines are tangent at that point of the circle.

A rough diagram is attached for reference.

Hope it helps you.

Answer 2

Answer:

Steps of construction:-

(i) Draw a circle using a bangle.

(ii) Now draw 2 chords of this circle as QR and ST.

(iii) Take a point P outside the circle.

(iv) Draw perpendicular bisector of both the chords and let them meet at point O.

(v) Join point PO.

(vi) Draw bisector of PO and name the midpoint as U.

(vii) Now, taking U as a centre and UP as radius draw a circle.

(viii) Name the intersection point of both the circles as V and W.

(ix) Join PV and PW. These are the required tangents.