"The distance between the points ofntact of twoparallel tangents toa givencircle of radius 6 cm is
Question
"The distance between the points ofntact of twoparallel tangents toa givencircle of radius 6 cm is
Solution
The question seems to be incomplete. However, if you're asking for the distance between the points of contact of two parallel tangents to a given circle of radius 6 cm, here's how you can solve it:
- Draw a circle with a radius of 6 cm.
- Draw two parallel tangents to the circle. The points where these tangents touch the circle are the points of contact.
- Draw two radii from the center of the circle to the points of contact. These radii are perpendicular to the tangents.
- Now, you have two right triangles. The hypotenuse of each triangle is the radius of the circle (6 cm), and the two triangles share a common side, which is the distance between the points of contact of the tangents.
- Since the tangents are parallel and the radii are perpendicular to the tangents, the two right triangles are congruent.
- Therefore, the distance between the points of contact of the tangents is the same as the diameter of the circle, which is 2 * radius = 2 * 6 cm = 12 cm.
So, the distance between the points of contact of two parallel tangents to a given circle of radius 6 cm is 12 cm.
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