Podcast
Questions and Answers
A circle has a radius of 7 cm. What is its area?
A circle has a radius of 7 cm. What is its area?
- 153.94 cm² (correct)
- 43.96 cm²
- 21.98 cm²
- 14 cm²
The area of a triangle is found by multiplying the base by the height.
The area of a triangle is found by multiplying the base by the height.
False (B)
A square has a side length of 12 meters. What is the area of the square?
A square has a side length of 12 meters. What is the area of the square?
144 square meters
The area of a parallelogram is found by multiplying the base by the ______.
The area of a parallelogram is found by multiplying the base by the ______.
Match each shape with its corresponding area formula:
Match each shape with its corresponding area formula:
What is the area of a rectangle with a length of 15 cm and a width of 8 cm?
What is the area of a rectangle with a length of 15 cm and a width of 8 cm?
The diameter of a circle is half of its radius.
The diameter of a circle is half of its radius.
What is the height of a triangle with an area of 48 square inches and a base of 12 inches?
What is the height of a triangle with an area of 48 square inches and a base of 12 inches?
A quadrilateral with two pairs of parallel sides is called a ______.
A quadrilateral with two pairs of parallel sides is called a ______.
If the area of a square is 81 square feet, what is the length of one of its sides?
If the area of a square is 81 square feet, what is the length of one of its sides?
Flashcards
What is Area?
What is Area?
The measure of the 2D space inside a closed shape, expressed in square units.
What is a Circle?
What is a Circle?
A set of points at a fixed distance from a center point.
What is a Radius?
What is a Radius?
The distance from the center of a circle to any point on the circle.
What is Diameter?
What is Diameter?
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What is Pi (π)?
What is Pi (π)?
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Circle Area Formula
Circle Area Formula
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What is a Triangle?
What is a Triangle?
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Triangle Area Formula
Triangle Area Formula
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What is a Parallelogram?
What is a Parallelogram?
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Area Formula: Parallelogram
Area Formula: Parallelogram
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Study Notes
- Area is the measure of the two-dimensional space inside a closed shape
- Area is always expressed in square units (e.g., square meters (m²), square feet (ft²), square inches (in²), etc.)
Circle
- A circle is a set of all points in a plane that are at a fixed distance from a center point
- Radius (r): The fixed distance from the center of the circle to any point on the circle
- Diameter (d): The distance across the circle through the center, and is twice the radius (d = 2r)
- Pi (π): A mathematical constant approximately equal to 3.14159, representing the ratio of a circle's circumference to its diameter
- Area of a Circle: A = πr², where r is the radius of the circle
Triangle
- A triangle is a polygon with three edges and three vertices
- Base (b): One side of the triangle, usually the bottom side
- Height (h): The perpendicular distance from the base to the opposite vertex
- Area of a Triangle: A = 1/2 * b * h, where b is the base and h is the height
Parallelogram
- A parallelogram is a quadrilateral with two pairs of parallel sides
- Base (b): One of the sides of the parallelogram
- Height (h): The perpendicular distance between the base and its opposite side
- Area of a Parallelogram: A = b * h, where b is the base and h is the height
Square
- A square is a quadrilateral with four equal sides and four right angles
- Side (s): The length of one side of the square
- Area of a Square: A = s², where s is the length of a side
Rectangle
- A rectangle is a quadrilateral with two pairs of equal sides and four right angles
- Length (l): The longer side of the rectangle
- Width (w): The shorter side of the rectangle
- Area of a Rectangle: A = l * w, where l is the length and w is the width
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