The Center of curvature is 2 times the focal length. By the way this is a physics question.
R = 2f
arc length/2pi*r=measure of central angle/360
The relation between the arc of length and the central angle is that the arc of length divided by one of the sides is the central angle in radians. If the arc is a full circle, then the central angle is 2pi radians or 360 degrees.
yes
The Center of curvature is 2 times the focal length. By the way this is a physics question.
The focal length (a.k.a focus) is exactly half the length of the centre of curvature. ie. F = 1/2 C
f=|-R/2|
The relation between focal length (f), radius of curvature (R), and the focal point of a spherical mirror can be described by the mirror equation: 1/f = 1/R + 1/R'. The focal length is half the radius of curvature, so f = R/2.
The radius of curvature is the distance from the center of a curved surface or lens to a point on the surface, while the center of curvature is the point at the center of the sphere of which the curved surface is a part. In other words, the radius of curvature is the length of the line segment from the center to the surface, while the center of curvature is the actual point.
The curvature of the eye's lens is related to its focal length: a more curved lens will have a shorter focal length, which allows the eye to focus on near objects. Conversely, a less curved lens will have a longer focal length, allowing the eye to focus on distant objects.
The center of curvature of a spherical mirror is the point at the center of the sphere from which the mirror is a part. It is located at a distance equal to the radius of the sphere. The center of curvature is an important point for determining the focal length and the magnification of the mirror.
When the object is located between the center of curvature (C) and the focal point (F) of a concave mirror, the real image appears magnified and is located beyond the center of curvature. This is due to the converging nature of concave mirrors when the object distance is within the focal length.
For a convex mirror, the focal length (f) is half the radius of curvature (R) of the mirror. This relationship arises from the mirror formula for convex mirrors: 1/f = 1/R + 1/v, where v is the image distance. When the object is at infinity, the image is formed at the focal point, and the image distance is equal to the focal length. Hence, 1/f = -1/R when solving for the focal length in terms of the radius of curvature for a convex mirror.
R = 2f
The center of curvature is the point on the optical axis located at a distance twice the focal length from the focal point of a lens or mirror. It is the midpoint of the radius of curvature of the lens or mirror. The focal point is the point where parallel rays of light converge or appear to diverge after passing through or reflecting off the lens or mirror.
This requires trigonometry If theta is the angle from the center of the circle to the edges of the chord, then chord length = 2Rsin (theta/2)