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11. Construction: Construction of Circumcircle and Incircle of a Trian
Home · Class 10 · Maths · Ref. Book · 11. Construction: Construction of Circumcircle and Incircle of a Trian
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Q6 of 19 Page 176

If any circular picture is given, then how shall we find its centre? Let us find the centre of the circle in the adjoining figure.


Steps of construction:

1. Draw a circle (Say C1), and take any three points A, B and C on its circumference



2. Join AB and BC and draw the perpendicular bisector of AB and BC which intersect each other at O.



3. O is the center of circle.


More from this chapter

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4

We draw a quadrilateral ABCD having AB = 4 cm, BC = 7 cm CD = 4 cm, ∠ABC = 60°, ∠BCD = 60°. Let us draw the circle circumscribing ΔABC and write what other characteristics we observe.

5

Let us draw the rectangle PQRS having PQ = 4 cm, and QR = 6 cm. Let us draw the diagonals of the rectangle. Let us write by calculating the position of the centre of the circum-circle of ΔPQR and the length of circum radius without drawing. By drawing circumcircle of ΔPQR, let us verify.

1

Let us draw the following triangles and by drawing incircle of each circle, let us write by measuring the length of inradius in each case.

the lengths of three sides are 7 cm., 6 cm., and 5.5 cm.

1

Let us draw the following triangles and by drawing incircle of each circle, let us write by measuring the length of inradius in each case.

the length of two sides are 7.6 cm., 6 cm. and the angle included by those two sides is 75°.

Questions · 19
11. Construction: Construction of Circumcircle and Incircle of a Trian
1 1 1 1 1 1 2 3 4 5 6 1 1 1 1 1 1 1 1
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