Q: How many ways can an arc be tangent to a line and an arc?

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Although normally it is the line that is considered to be tangent to an arc, an arc can be tangent to infinitely many lines and so the answer to the question is: in infinitely many ways.

tangent

tangent

It is Y.

a tangent to the circle

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Although normally it is the line that is considered to be tangent to an arc, an arc can be tangent to infinitely many lines and so the answer to the question is: in infinitely many ways.

Only once. A tangent line shares only one point with any single arc/curve.

ask someone els

tangent

It is probably arctan or arc tangent, the inverse of the tangent function.

tangent

The arc tangent is the recicple of the tangent which is also known as the cotangent. The tangent of π/2 is undefined, thus the cotangent would be zero.

35 degrees :)

It is Y.

It is true that the measure of a tangent-chord angle is half the measure of the intercepted arc inside the angle. When a tangent line intersects a chord of a circle, it creates an angle between the tangent line and the chord, known as the tangent-chord angle. If we draw a segment from the center of the circle to the midpoint of the chord, it will bisect the chord, and the tangent-chord angle will be formed by two smaller angles, one at each end of this segment. Now, the intercepted arc inside the tangent-chord angle is the arc that lies between the endpoints of the chord and is inside the angle. The measure of this arc is half the measure of the central angle that subtends the same arc, which is equal to the measure of the angle formed by the two smaller angles at the ends of the segment that bisects the chord. Therefore, we can conclude that the measure of a tangent-chord angle is half the measure of the intercepted arc inside the angle.

-- 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.

a tangent to the circle