What is the distance between two parallel tangents of a circle of radius 7 cm?
Answers
Answer:
O is the center of circle and tangents from point A and B are parallel
We know that the line joining point of contacts of two parallel tangents (here AB) passes through the center
And as a line from the center is perpendicular to tangent , hence that line (AB) will be the distance between parallel tangents
AB passes through center O hence AB is also the diameter of the circle
Hence the distance between the two parallel tangents will be the diameter of the circle
Radius is given 10cm
Hence diameter of circle = 2× radius
Hence AB = 2×10
⇒ AB = 20cm
Hence distance between parallel tangents is 20cm
Step-by-step explanation:
O is the center of circle and tangents from point A and B are parallel
We know that the line joining point of contacts of two parallel tangents (here AB) passes through the center
And as a line from the center is perpendicular to tangent , hence that line (AB) will be the distance between parallel tangents
AB passes through center O hence AB is also the diameter of the circle
Hence the distance between the two parallel tangents will be the diameter of the circle
Radius is given 10cm
Hence diameter of circle = 2× radius
Hence AB = 2×10
⇒ AB = 20cm
Hence distance between parallel tangents is 20cm
Answer:
It is known, any tangent to the circle is perpendicular to the radius passing through the point.
Two radii of a circle are parallel to one another if they are part of the same diameter, that is, if they put together form a diameter.
Therefore, two tangents to any given circle are parallel to one another only if they touch the circle at diametrically opposite points.
Thus, in this case, distance between two parallel tangents to the circle must be (2 * 7) cm = 14 cm.