Questions and Answers
What is the circumference?
The distance around a circle.
What is a plane figure?
A two-dimensional figure.
What are dimensions?
The size of something (e.g., length, width, or height).
What is the perimeter?
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What is the perimeter of a square that is 3 3/4 inches on a side?
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If the length of the rectangle is 14 meters and the perimeter of the rectangle is 44 meters, what is the width?
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What equation cannot be used to find the length of the third side of a triangle when the measures of two sides are 7.3 cm and 2.94 cm and the perimeter is 14.8 cm?
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If the perimeter of this figure is 70 feet, how long are the unknown sides?
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Estimate the length of rubber Jim would get from his two bicycle tires with a diameter of 20 inches.
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How much crust is around the edge of a 14-inch pizza (using 3.14 for pi)?
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What is the radius of a circle if its circumference is 19.468 meters?
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How much fencing will Jose need for a rectangular kennel with dimensions of 12 feet 3 inches by 8 feet 11 inches?
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How long must the board be that Carl uses for a frame with dimensions of 2 feet by 18 inches?
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What is the circumference of a specific figure when converted to yards?
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Study Notes
Key Terminology
- Circumference: The distance around a circle.
- Plane Figure: A two-dimensional geometric figure.
- Dimensions: Measurements that define the size of an object, including length, width, and height.
- Perimeter: The total distance around the boundary of a plane figure.
Perimeter Calculations
- Square Perimeter: For a square with sides measuring 3 3/4 inches, the perimeter is 15 inches.
- Rectangle Perimeter: Given a rectangle with one length of 14 meters and a total perimeter of 44 meters, the width is determined to be 8 meters.
- Triangle Perimeter: For a triangle with sides measuring 7.3 cm and 2.94 cm, the total perimeter is 14.8 cm. An incorrect equation to find the third side is x - 14.8 = 2.94 + 7.3.
- Unknown Sides: If the total perimeter of a certain figure is 70 feet, one unknown side can be determined to be 6 feet.
Circumference Applications
- Bicycle Tires: With 20-inch diameter wheels, the estimated rubber length from both tires is approximately 120 inches.
- Pizza Crust: A 14-inch pizza has an estimated crust circumference of 43.96 inches, using 3.14 for pi.
- Radius from Circumference: For a circle with a circumference of 19.468 meters, the radius calculates to about 3.1 meters.
Real-World Applications
- Kennel Fencing: To build a rectangular dog kennel measuring 12 feet 3 inches by 8 feet 11 inches, approximately 42 feet of fencing is needed.
- Picture Frame Board: For a frame requiring dimensions of 2 feet by 18 inches, Carl must use a board that is 7 feet long.
Other Key Figures
- Circumference in Yards: An unspecified figure has a circumference converted to 1.57 yards.
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Description
Test your knowledge of key geometric concepts such as perimeter and circumference in this quiz based on Plane Figures. You'll tackle calculations involving squares, rectangles, and triangles, as well as real-world applications like bicycle tires. Get ready to enhance your skills in geometry!
