5 Marks Questions

Question

Observe that the circular hole is the same as the centre of the square.
Construct a “Square with a Hole” as shown in the given figure. The centre of the hole is the same as the center of the square.
Hint: Think where the centre of the circle should be.

Vidyadip · Accepted Answer

The centre of a square is the point of intersection of its diagonals. This centre is also the centre of the hole in the figure.
Step 1. Using a ruler, draw a line AB equal to 5 cm, say. Using a protractor, draw perpendicular lines at A and B. Using a ruler, mark point P on the perpendicular line at A such that AP = 5 cm. Using a ruler, mark point Q on the perpendicular line at B such that BQ = 5 cm. Join P and Q using a ruler. Erase the lines above P and Q (Fig. 1).

Step 2. Draw diagonals AQ and BP using a ruler. Let the diagonals intersect at C. This point is the centre of the square ABQP. Erase the diagonals AQ and BP. (Fig. 2).

Step 3. With centre at C and a radius of 1.5 cm, say, draw a circle using a compass. (Fig. 3)

Step 4. Fig. 3 is the required “Square with a Hole”.

$8$	$1$	$3$	$7$	$6$	$5$	$5$	$4$	$4$	$2$
$4$	$9$	$5$	$3$	$7$	$1$	$6$	$5$	$2$	$7$
$7$	$3$	$8$	$4$	$2$	$8$	$9$	$5$	$8$	$6$
$7$	$4$	$5$	$6$	$9$	$6$	$4$	$4$	$6$	$6$

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Playing with Constructions — MATHS STD 6 — Question

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