Draw a circle with radius 4.1 cm. Construct tangents to the circle from a point at a distance 7.3 cm from the centre.
Question
Draw a circle with radius 4.1 cm. Construct tangents to the circle from a point at a distance 7.3 cm from the centre.
Solution
Sure, here are the steps to construct tangents to a circle from an external point:
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Draw a circle with a radius of 4.1 cm using a compass.
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Mark a point outside the circle at a distance of 7.3 cm from the center of the circle. Let's call this point P.
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Draw a line from the center of the circle to point P.
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Using the compass, find the midpoint of the line segment you just drew. This is the point where the perpendicular bisector of the line segment will cross it.
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Draw a circle with the midpoint as the center and the line segment as the radius. This circle will intersect the original circle at two points.
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Draw lines from point P to the two points where the circles intersect. These are the tangents to the original circle from point P.
Remember to use a ruler for straight lines and a compass for circles and arcs.
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