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Draw a circle of diameter 6.4 cm. Take a point R at a distance equal to its diameter from the centre. Draw tangents from point R. - Geometry Mathematics 2

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Question

Draw a circle of diameter 6.4 cm. Take a point R at a distance equal to its diameter from the centre. Draw tangents from point R.

Diagram

Solution

Steps of Construction:
​Step 1: Construct a circle of radius = \[\frac{6 . 4}{2}\] = 3.2 cm with centre O.

Step 2: Take a point R in the exterior of the circle such that OR = 6.4 cm.
Step 3: Draw segment OR. Draw the perpendicular bisector of segment OR to get its midpoint M.
Step 4: Draw a circle with radius OM and centre M.
Step 5: Name the point of intersection of the two circles as A and B.
Step 6: Draw line RA and line RB.

Here, line RA and line RB are tangents to the circle from point R.

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To Construct Tangents to a Circle from a Point Outside the Circle.
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Chapter 4: Geometric Constructions - Problem Set 4 [Page 99]

APPEARS IN

Balbharati Geometry (Mathematics 2) [English] 10 Standard SSC Maharashtra State Board
Chapter 4 Geometric Constructions
Problem Set 4 | Q 4 | Page 99

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