Circle and Disc

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What is the definition of a circle?
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A circle is a set of all points in a plane that are a fixed distance from a center point.
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What does the term 'radius' refer to in a circle?
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The radius of a circle is the distance from the center of the circle to any point on its boundary.
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How do you calculate the circumference of a circle?
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The circumference of a circle is calculated using the formula C = 2πr, where r is the radius.
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What is a 'diameter' in a circle?
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The diameter is a straight line passing from side to side through the center of a circle; it is twice the radius.
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How is the area of a circle calculated?
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The area of a circle is calculated using the formula A = πr², where r is the radius.
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What is a disc?
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A disc is the region in a plane enclosed by a circle, including the circle itself.
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What is the difference between a circle and a disc?
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A circle refers to just the boundary, whereas a disc includes the circle and all the points inside it.
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How can you draw a perfect circle?
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A perfect circle can be drawn using a compass, by fixing one end to the center point and rotating the other end around it.
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What is a sector of a disc?
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A sector is a part of a disc bounded by two radii and the arc between them.
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How is the length of an arc in a circle determined?
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The length of an arc is determined by the formula L = θ/360° × 2πr, where θ is the angle of the arc and r is the radius.
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Define chord with respect to a circle.
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A chord is a line segment with both endpoints on the circle.
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What is a tangent line?
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A tangent line is a straight line that touches a circle at exactly one point.
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How is a small segment of a circle referred?
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A small part of a circle created by two radii and an arc is called a 'sector'.
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What do we call a region inside a disc, bounded by a chord and an arc?
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This region is called a 'segment' of a disc.
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What is the relation between diameter and radius?
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The diameter is twice the length of the radius.
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