Sector
Yes.
An arc is a portion of the circumference of a circle, defined by two endpoints on the circle. In contrast, a sector is a region enclosed by two radii and the arc connecting them, resembling a "slice" of the circle. Essentially, while an arc is just the curved line, a sector includes the area bounded by the arc and the radii.
The region bounded by an arc and a chord is known as a "segment" of a circle. This segment includes the area enclosed by the chord and the arc connecting the endpoints of the chord. The segment can vary in size depending on the length of the chord and the curvature of the arc. If the chord is a diameter, the segment is known as a semicircle.
The region bounded by an arc and two radii to the arc's endpoints is known as a sector of a circle. It resembles a "slice" of the circle, with the arc serving as the curved edge and the two radii as the straight edges extending from the center of the circle to the endpoints of the arc. The area of this sector can be calculated based on the angle subtended by the arc at the center and the radius of the circle.
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.
sector
Yes.
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.
An arc is a portion of the circumference of a circle, defined by two endpoints on the circle. In contrast, a sector is a region enclosed by two radii and the arc connecting them, resembling a "slice" of the circle. Essentially, while an arc is just the curved line, a sector includes the area bounded by the arc and the radii.
The region bounded by an arc and a chord is known as a "segment" of a circle. This segment includes the area enclosed by the chord and the arc connecting the endpoints of the chord. The segment can vary in size depending on the length of the chord and the curvature of the arc. If the chord is a diameter, the segment is known as a semicircle.
The region bounded by an arc and two radii to the arc's endpoints is known as a sector of a circle. It resembles a "slice" of the circle, with the arc serving as the curved edge and the two radii as the straight edges extending from the center of the circle to the endpoints of the arc. The area of this sector can be calculated based on the angle subtended by the arc at the center and the radius of the circle.
The region bounded by an arc and its two radii is known as a sector of a circle. This sector represents a "slice" of the circle, defined by the two radii that extend from the center of the circle to the endpoints of the arc. The area of this sector can be calculated using the formula ( \frac{1}{2} r^2 \theta ), where ( r ) is the radius and ( \theta ) is the angle in radians.
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.
Segment
An annulus is a geometric shape that resembles a ring or a doughnut, defined as the region between two concentric circles with different radii. It is characterized by its outer circle and inner circle, where the area enclosed by the outer circle is subtracted from the area of the inner circle. Annuli are commonly encountered in mathematics, physics, and engineering, particularly in problems related to circular shapes and surfaces.
The area of the shaded region is 1265.42 meters squared, since I subtracted the two totals of both the unshaded region and the shaded region of a circle.
the set f all points of the plane which lie either on the circle or inside the circle form the circular region