The distance from the center of the circle to the straight line is equal to the radius of the circle

| February 4, 2021 | education

The distance from the center of the circle to the straight line is equal to the radius of the circle. How many points do a circle and a line have in common?

Since in the conditions only the distance from the center of the circle to the straight line is indicated, but it is not indicated at what angle the imaginary line is drawn from the center to the straight line, the following options are possible:

1. A straight line is a tangent to a circle. In this case, the circle and the straight line will have only one common point located at the distance of the radius of the circle from its center.

2. A straight line can intersect a circle as you like. In this case, we will get 2 intersection points, each of which will be removed from the center of the circle by the distance of the radius.



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