There is no specific name for such an angle.
A tangent of a circle meets its radius at right angles
An inscribed 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.
Central Angle
A central angle.The section of the circle formed by that angle and the part of the circle (the part being the circumference) between the radii is called a sector.
That is the central angle.
It is called a central angle.
The angle you seek is 45 degrees. The angle whose tangent is 1 can be written arctan(1) = 45 degrees.
An inscribed angle is an angle whose vertex is on the circle and whose sides are chords.
20 degrees
That's a "central angle", but the part that really fascinates me is this: What would it look like if you hadan angle whose vertex was in the center of the circle and whose sides didn't intersect ? ? ?
Inscribed angle
An inscribed angle.
it is arc angle
It is an inscribed angle.
Central 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.
It is the subtended angle of the arc