Circle and Disk

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What is a circle?
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A circle is a shape with all points at the same distance from its center.
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What is the distance from the center of a circle to any point on the circle called?
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It is called the radius.
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What do you call a straight line passing through the center of a circle to touch two points on its boundary?
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This line is called the diameter.
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How is the circumference of a circle calculated?
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The circumference can be calculated using the formula 2π times the radius.
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Define the term 'disk' in geometry.
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A disk is a region in the plane enclosed by a circle.
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What is the mathematical relationship between the radius and diameter?
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The diameter is twice the radius.
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How do you find the area of a disk?
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The area can be found using the formula π times the radius squared.
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What is the difference between a circle and a disk?
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A circle is just the outline, while a disk includes the circle and the area inside it.
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What is a chord in a circle?
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A chord is a straight line connecting two points on the circle.
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Can the diameter of a circle be a chord?
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Yes, the diameter is the longest possible chord.
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What is the formula for calculating the radius if you have the diameter?
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Radius equals the diameter divided by two.
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What is an arc in the context of circles?
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An arc is any segment of the circumference of a circle.
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What determines the size of a circle?
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The radius or diameter determines the size of a circle.
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What is the center of a circle?
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The center is the point equidistant from all points on the circle.
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What is a tangent to a circle?
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A tangent is a line that touches the circle at exactly one point.
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