With the point O as the centre, draw two circles of radius 2.5 cm and 4 cm with compasses and ruler. What are these circles called? [2 MARKS]

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Solution

Construction: 1 Mark
Answer: 1 Mark

Steps of construction:

1. Stretch the compass to the length of 2.5 cm measuring with a ruler. Then draw a circle with the centre as O.
2. Again stretch the compass to the length of 4 cm measuring with a ruler. Then draw a circle with the same centre O as shown below.

These are known as concentric circles as they have the same centre but different radius.

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Similar questions

Using ruler and compass draw circles with the radii given below.

Mark their centres and draw the radii.

(1) 4 cm

(2) 2.5 cm

Question 2

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

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

Draw a circle with centre O using compass and ruler. Make smaller circles such that they are:
i) non-intersecting
ii) passing through the point O
iii) touching the circumference of the bigger circle. [3 MARKS]

Draw a circle of radius 3 cm and mark two chords AB and AC of the circle of lengths 4 cm and 5 cm respectively, using ruler and compasses only. Then the locus of points, inside the circle, that are equidistant from A and C, passes through the centre of the circle.

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