Circle and Disc

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What is the definition of a circle?
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A circle is a round shape where every point on the edge is the same distance from the center.
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What do we call the distance from the center of the circle to any point on the edge?
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The radius.
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How do you calculate the circumference of a circle?
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The circumference is calculated as 2π times the radius (C = 2πr).
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What is the difference between a circle and a disc?
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A circle refers to the boundary, whereas a disc includes the boundary and everything inside it.
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How do you find the area of a disc?
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The area of a disc is π times the radius squared (A = πr²).
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What is the name of a line that goes through the center of a circle and both ends are on the circle?
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The diameter.
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How is the diameter related to the radius?
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The diameter is twice the length of the radius (d = 2r).
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What do you call a segment that joins two points on a circle but does not pass through the center?
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A chord.
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What is the name of the longest possible chord in a circle?
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The diameter.
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If a circle’s radius is 4, what is its diameter?
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The diameter is 8.
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What is a sector of a circle?
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A sector is a region enclosed by two radii and the arc between them.
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What is an arc?
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An arc is a part of the circumference of a circle.
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How do you calculate the length of an arc?
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The arc length is calculated using the formula (angle/360) × 2πr.
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True or False: All circles are similar regardless of their size.
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True.
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If the circumference of a circle is 18π, what is the radius?
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The radius is 9.
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