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Flashcards: Circles 48 Flashcards 
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A circle is defined as a simple closed curve where all points are equidistant from a fixed point called the ___. |
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Centre |
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The distance between the centre of a circle and any point on the circumference is known as the ___. |
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Radius  |
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The longest chord of a circle is called the ___. |
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Diameter  |
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True or False: The radius of a circle is twice the length of the diameter. |
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False. The radius is half the diameter. |
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What is the difference between a minor arc and a major arc in a circle? |
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A minor arc is the shorter segment of the circle, while a major arc is the longer segment. |
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Fill in the blank: A ___ is a line segment whose endpoints lie on the circle. |
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Chord  |
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Riddle: I am a part of a circle and named by three points, two are my endpoints, and one lies in between. What am I? |
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An arc |
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What is the relationship between diameter and radius in a circle? |
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The diameter is equal to 2 times the radius. |
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An arc that is longer than a semicircle is called a ___. |
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Major arc |
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True or False: A circle can be defined as a curve where points are at varying distances from the center. |
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False. All points in a circle are at the same distance from the center. |
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What is the formula for calculating 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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Fill in the blank: The diameter of a circle is equal to ___ times the radius. |
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2 |
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True or False: The interior of a circle includes all points that are farther away from the center than the radius. |
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False. The interior of a circle includes all points that are closer to the center than the radius.  |
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What distinguishes concentric circles from other circles? |
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Concentric circles have the same center but different radii.  |
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Riddle: I am a closed curve where every point is equidistant from the center. What am I? |
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A circle. |
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When drawing a circle with a compass, what is the first step? |
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Fix a pointed pencil in the compass and place the metal tip at a point on a ruler to measure the radius. |
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The point 'O' in circle geometry typically represents what? |
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The center of the circle. |
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Fill in the blank: Circles with the same center but different radii are called ___ circles. |
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Concentric |
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If the radius of a circle is 3 cm, what is the circumference? |
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The circumference is 6π cm. |
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Explain the relationship between the radius and the diameter of a circle. |
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The diameter is twice the length of the radius; it can be expressed as d = 2r. |
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The radius of a circle is 3.4 cm. What is the diameter? |
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Diameter = 2 × radius = 2 × 3.4 cm = 6.8 cm. |
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Circumference of a circle can be calculated using which formula? |
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Circumference = 2 × π × radius. |
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If the circumference of a circle is 44 cm, what is the radius? |
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Using the formula Circumference = 2 × π × radius, we can rearrange to find radius = Circumference / (2 × π). For a circumference of 44 cm, radius = 44 cm / (2 × 22/7) = 7 cm. |
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The diameter of a circle is 2.8 cm. What is the circumference? |
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Circumference = π × diameter = (22/7) × (2.8 cm) = 8.8 cm. |
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 Completed! Keep practicing to master all of them. |
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