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Draw an equilateral triangle of side 4 cm and draw its circumcircle.

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Steps of construction:

Step 1: Draw a line segment BC = 4 cm

Step 2: With B as centre and radius of 4 cm, draw an arc.

Step 3: With C as centre and radius of 4 cm, draw another arc to intersect the previous arc at A.

Step 4: Join AB and AC

Step 5: ABC is the required equilateral triangle

Step 6: Draw the perpendicular bisector of the sides of the triangle

Step 7: Mark the point of intersection of the perpendicular bisectors as 'O' which is called the circumcentre of the triangle.

Step 8: With 'O' as centre OA or OB or OC as radius, draw a circle passing through A, B and C.

Thus the circumcircle of the equilateral triangle is constructed.

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