Questions and Answers
What is the center of the circle shown below?
M
Which of the following segments is a radius of ⊙K?
KM
What is the measure of the radius of ⊙M?
10.5 units
A circle is the collection of points in a plane that are the same distance from the radius.
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The circumference of a circle is defined to be the __________.
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What is the approximate circumference of the circle shown below? (Use 3.14 for pi). Radius: 10cm
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What is the approximate area of the circle shown below? (Use 3.14 for pi). Diameter: 14cm
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Find the circumference of a circle with an area of 201.06 square inches. (Use 3.14 for pi)
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Find the area of a circle with a circumference of 131.95 meters. (Use 3.14 for pi)
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Study Notes
Understanding Circles
- A circle is defined as the set of points in a plane that are equidistant from a given point, known as the center.
- The center of a circle can be denoted by a point, such as M in the example provided.
Circle Components
- A radius is a line segment from the center to any point on the circle, represented as KM for circle ⊙K.
- The radius of circle ⊙M is given as 10.5 units.
Circumference of a Circle
- Circumference refers to the total distance around the circle.
- An important formula for finding the circumference is ( C = 2\pi r ).
- For a circle with a radius of 10 cm, the approximate circumference is calculated to be 62.8 cm, using π ≈ 3.14.
Area of a Circle
- The area of a circle can be found using the formula ( A = \pi r^2 ).
- For a circle with a diameter of 14 cm, the approximate area is 153.9 square cm.
Calculating Area from Circumference
- To find the circumference from the area: if a circle has an area of 201.06 square inches, its circumference is approximately 50.3 inches.
- If the circumference of a circle is known (e.g., 131.95 meters), the area can be derived, resulting in an area of approximately 1385.5 square meters.
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Description
Test your knowledge of fundamental concepts related to circles with these flashcards. Find out about the radius, center, and circumference with various questions designed to enhance your understanding of circular geometry.
