Area of Circle and Triangle

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Questions and Answers

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.

False (B)

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 ______.

<p>height</p> Signup and view all the answers

Match each shape with its corresponding area formula:

<p>Circle = $A = πr^2$ Triangle = $A = 1/2 * b * h$ Parallelogram = $A = b * h$ Square = $A = s^2$ Rectangle = $A = l * w$</p> Signup and view all the answers

What is the area of a rectangle with a length of 15 cm and a width of 8 cm?

<p>120 cm² (D)</p> Signup and view all the answers

The diameter of a circle is half of its radius.

<p>False (B)</p> Signup and view all the answers

What is the height of a triangle with an area of 48 square inches and a base of 12 inches?

<p>8 inches</p> Signup and view all the answers

A quadrilateral with two pairs of parallel sides is called a ______.

<p>parallelogram</p> Signup and view all the answers

If the area of a square is 81 square feet, what is the length of one of its sides?

<p>9 feet (B)</p> Signup and view all the answers

Flashcards

What is Area?

The measure of the 2D space inside a closed shape, expressed in square units.

What is a Circle?

A set of points at a fixed distance from a center point.

What is a Radius?

The distance from the center of a circle to any point on the circle.

What is Diameter?

Distance across a circle through the center (twice the radius).

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What is Pi (π)?

A constant (~3.14159) representing the ratio of a circle's circumference to its diameter.

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Circle Area Formula

A = πr², where r is the radius of the circle.

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What is a Triangle?

A polygon with 3 edges and 3 vertices.

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Triangle Area Formula

A = 1/2 * b * h, where b is the base and h is the height.

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What is a Parallelogram?

A quadrilateral with two pairs of parallel sides.

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Area Formula: Parallelogram

A = b * h, where b is the base and h is the height.

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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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