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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.

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Solution

Sure, here are the steps to construct tangents to a circle from an external point:

  1. Draw a circle with a radius of 4.1 cm using a compass.

  2. 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.

  3. Draw a line from the center of the circle to point P.

  4. 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.

  5. 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.

  6. 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.

This problem has been solved

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