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The point at which a tangent line meets a circle is called the point of tangency?
true
What happens between a radius and a tangent in a circle?
A tangent is always perpendicular to the radius of a circle. A radius is a straight line going from the center of the circle to the circumference (edge) of the circle. A tangent is a straight line outside the circle that touched the circle at one (and only one) point. When a tangent touches the outside edge of the circle at the same point where a radius touches the edge of the circle, the angle between the radius and tangent line is 90 degrees meaning they are perpendicular.
How many ways can an arc be tangent to one line?
Only once. A tangent line shares only one point with any single arc/curve.
A line that intersects a circle at exactly one point?
Such a line is called a tangent line or a tangent to the circle. [Tangent is Latin for touching-- a tangent line touches the circle at just one point. ]
What is the measure of the angle formed by two tangents drawn to a circle from an external point if they intersect a major arc whose measure is 230?
-- The major arc = 230 degrees-- The minor arc ... the arc between the tangents ... is (360 - 230) = 130 degrees.-- The line from the vertex of the angle to the center of the circle bisects the arc,so the angle between that line and the radius to each tangent is 65 degrees.-- The radius to each tangent is perpendicular to the tangent. So the radius, the tangent,and the line from the vertex to the center of the circle is a right triangle.-- In the right triangle, there's 90 degrees where the radius meets the tangent, and65 degrees at the center of the circle. That leaves 25 degrees for the angle at thevertex.-- With another 25 degrees for the right triangle formed by the other tangent,the total angle formed by the two tangents is 50 degrees.
