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The drawing below shows an arrangement of circles similar to those in the toy on the right - Leaving Cert DCG - Question A-4 - 2015
Question A-4
The drawing below shows an arrangement of circles similar to those in the toy on the right. The horizontal line RS and circles A and B are in fixed positions as sho... show full transcript
Worked Solution & Example Answer:The drawing below shows an arrangement of circles similar to those in the toy on the right - Leaving Cert DCG - Question A-4 - 2015
Step 1
Redraw circle C when it has been moved to position C₁ and is in contact with circles A and B.
Answer
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Identify the positions of circles A and B based on the horizontal line RS.
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Use a compass to measure the radius of circle C.
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Move circle C to the new position, ensuring that it touches both circles A and B. This can be achieved by drawing arcs from the centers of circles A and B to locate the point of tangency.
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Draw the new circle C at position C₁ using the measured radius.
Step 2
Redraw circle D when it has been moved to position D₁ and is in contact with circle B and the line RS.
Answer
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Determine the radius of circle D.
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Move circle D to position D₁ such that it is tangent to circle B and the horizontal line RS.
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Draw arcs from circle B's center to ensure proper contact between circles D and B.
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Finally, draw circle D at the new position D₁ while maintaining the radius.
Step 3