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Questions and Answers
What is the definition of perimeter?
Perimeter refers to the continuous line forming the boundary of a closed geometric figure.
How is the perimeter of a rectangle calculated?
The perimeter of a rectangle is calculated by adding together the lengths of all four sides, using the formula 2 × (length + width).
Can the perimeter of a circle be calculated? If so, how?
Yes, the perimeter of a circle can be calculated using the formula 2 × π × radius, where π is approximately 3.14 and radius is the distance from the center to any point on the circle's circumference.
Calculate the perimeter of a rectangle with a length of 8 units and a width of 5 units.
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Find the perimeter of a square with an area of 49 square units.
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If the perimeter of a regular polygon is 40 cm and each side has a length of 8 cm, how many sides does the polygon have?
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Study Notes
Perimeter Definition
- The perimeter is the distance around a shape or figure.
Perimeter of a Rectangle
- The perimeter of a rectangle is calculated by adding the lengths of all its sides.
- The formula to calculate the perimeter of a rectangle is: P = 2(l + w), where l is the length and w is the width.
- Example: For a rectangle with a length of 8 units and a width of 5 units, the perimeter is P = 2(8 + 5) = 2(13) = 26 units.
Perimeter of a Circle
- The perimeter of a circle is also known as the circumference.
- The formula to calculate the circumference of a circle is: C = 2Ï€r, where r is the radius.
Perimeter of a Square
- The perimeter of a square is equal to 4 times the length of one side.
- Example: For a square with an area of 49 square units, the side length is √49 = 7 units, so the perimeter is 4 × 7 = 28 units.
Perimeter of a Regular Polygon
- The perimeter of a regular polygon is equal to the number of sides multiplied by the length of one side.
- Example: If the perimeter of a regular polygon is 40 cm and each side has a length of 8 cm, the number of sides is 40 ÷ 8 = 5 sides.
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Description
Test your knowledge on calculating perimeters of rectangles, squares, circles, and regular polygons. Includes questions on definitions of perimeter and formulas. Practice calculating perimeters with provided dimensions and areas.
