Q3 of 805 Page 14

Draw a circle and any two of its diameters. If you join the ends of these diameters, what is the figure obtaines?

What figure is obtained, if the diameters are perpendicular to each other? How do you check your answer?


Step 1: Draw an arbitrary circle using a compass and draw any two diameters.



Step 2: Join the end of diameters and measure the angles with a protractor and lengths with a scale.



Opposite angles are 90 °, and opposide sides are equal. So the polygon formed is a rectangle.



If the diameters are perpendicular, then the adjacent sides are equal, and opposite angles are 90 °s. So the polygon is a square.


More from this chapter

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1

Draw a circle of radius of 3.2 cm.

 2

With the same centre O, draw two circles of radii 4 cm and 2.5 cm.

 4

Draw any circle and mark points A, B and C such that

(a) A is on the circle.


(b) B is in the interior of the circle.


(c) C is in the exterior of the circle.


 5

Let A, B be the centres of two circles of equal radii; draw them so that each one of them passes through the centre of the other. Let them intersect at C and D.

Examine whether and are at right angles.