No, the region enclosed by a circle is not considered convex because it contains points within the circle that do not lie on the boundary of the circle. In convex regions, any line segment connecting two points inside the region will also lie completely inside the region.
Yes, in optimization problems, the feasible region must be a convex set to ensure that the objective function has a unique optimal solution. This is because convex sets have certain properties that guarantee the existence of a single optimum within the feasible region.
A magnifying glass is convex.
The human eye has a double convex lens in the cornea (outermost layer) and a bi-convex lens in the crystalline lens inside the eye.
Flashlights typically have a convex lens. A convex lens is thicker in the middle and thinner at the edges, which helps to converge the light rays and create a focused beam.
1. plain mirror2. concave mirror 4. concave lens3.convex mirror 5.convex lens
Yes.
Sector
convex
Another term for a geometric figure that is enclosed by a circle is a "circular region" or "disk." This refers to the area contained within the circumference of the circle. In a broader context, you might also refer to it as a "circle" itself when discussing its boundary.
no
A part of a circle enclosed by two radii is called a sector.
It is a sector of the circle
Area of a sector of a circle.
A sector of a circle is the region enclosed by two radii and the circumference. If you draw a picture, you can see that there are actually two regions formed. One has an angle of 180 degrees or less at the center, and the other has an angle of 180 degrees or more. A sector which occupies more than half of the circle is a major sector. To put it more succinctly, a major sector is enclosed by two radii and a major arc of a circle.
Exactly as in the question and a segment of a circle is the area enclosed by a chord and an arc of a circle.
Convex Polygon
A star or enclosed circle