Answered

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It is the region bounded by an arc of the circle and the two radii to the endpoints of the arc.
A. Tangent of a circle
B. Sector of a circle
C. Segment of a circle
D. External Secant Segment​.

Sagot :

Answer: B

Step-by-step explanation:

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CIRCLE

B. Sector of a Circle

The correct answer is B. Sector of a circle.

In geometry, a sector of a circle refers to the region bounded by an arc of the circle and the two radii extending from the center of the circle to the endpoints of the arc.

This region resembles a slice of pízza or pie, where the arc represents the curved boundary, and the radii are the straight sides or edges of the sector.

What is Tangent of a Circle?

A tangent to a circle is a line that touches the circle at exactly one point, without intersecting it further. It does not define a region bounded by an arc and radii.

What is Segment of a Circle?

The segment of a circle is the region bounded by a chord (a straight line connecting two points on the circle) and the arc intercepted by the chord. It does not necessarily involve the radii to the endpoints of the arc.

What is External Secant Segment?

A secant of a circle is a line that intersects the circle at two points. The external secant segment refers to the region outside the circle bounded by a secant and its external segments. This is not related to the region bounded by an arc and radii.

Therefore, the correct option describing the region bounded by an arc of the circle and the two radii to the endpoints of the arc is B. Sector of a circle.

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