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Construct a square of side 5 cm, with a small circle of radius 1 cm inside it, having the same centre as the square.

Construct a square of side 5 cm, with a small circle of radius 1 cm inside it, having the same centre as the square. Practical Geometry (Constructions), ML Aggarwal Understanding Mathematics Solutions ICSE Class 6.

Constructions

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Answer

Steps:

  1. Draw a line segment AB = 5 cm.

  2. At A, construct a perpendicular AX to AB using ruler and compass. From AX, cut off AD = 5 cm.

  3. At B, construct a perpendicular BY to AB using ruler and compass. From BY, cut off BC = 5 cm.

  4. Join CD. Then ABCD is a square of side 5 cm.

  5. Draw both the diagonals AC and BD of the square. Let them intersect at point O. Then O is the centre of the square.

  6. With O as centre and radius = 1 cm, draw a circle.

Construct a square of side 5 cm, with a small circle of radius 1 cm inside it, having the same centre as the square. Practical Geometry (Constructions), ML Aggarwal Understanding Mathematics Solutions ICSE Class 6.

Hence, ABCD is the required square of side 5 cm with a circle of radius 1 cm inside it, having the same centre O as the square.

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