There is no specific name for such an angle.
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.
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.
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
Early astronomers called this an "epicycle"; a whirling circle whose center was traveling in a larger circle. They used this to try to explain the observed motions of the planets, because Aristotle said that all motion in the heavens was circular, and so ellipses were right out!
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