How do you perform constructions related to circles? What theorems and explanations can be used to justify these constructions?

Question

2 years ago

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How do you perform constructions related to circles? What theorems and explanations can be used to justify these constructions?

Mathematics

1 answer:

Aleks [24] · Answer 1 · 2022-10-28T10:31:18+03:00

Answer and explanation:

To construct a circle, draw a line that represents the diameter of the circle. Bisect the line so that it is a perpendicular bisector of the diameter of the circle. Place your compass at the bisection point/midpoint and draw an arc or better still the whole circle.

Theorem: the perpendicular bisector of a chord passes through the center of a circle.

Note: a diameter of a circle is a chord that passes through the center of a circle.