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Gr 10 Math Lit: Ch 5.3 Parameter and Area

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24 Questions

What is the unit of measurement for perimeter?

mm, cm, m, or km

What is the formula to calculate the perimeter of a rectangle?

P = 2 × length + 2 × width

What is the perimeter of a circle called?

Circumference

What is the definition of a square?

A flat two-dimensional shape with all four sides equal in length, and all adjacent sides at right angles (90°) to each other.

What is the formula to calculate the perimeter of a circle?

C = 2 × π × radius

What is the unit of measurement for area?

mm², cm², m², or km²

What is the definition of a rectangle?

A flat two-dimensional shape with both pairs of opposite sides equal in length, and all adjacent sides at right angles (90°) to each other.

What is the formula to calculate the perimeter of a triangle?

P = side₁ + side₂ + side₃

What is the total length of the outside of a shape?

Perimeter

How is the perimeter of a circle measured?

Using a piece of string placed along the outline of the circle

What is the formula to calculate the perimeter of a square?

P = 4 × side

What is the length from the centre to any point on the edge of a circle?

Radius

What is the size of a surface or plane?

Area

What is the unit of measurement for the area of a shape?

mm², cm², m², or km²

What is the distance around the curved edge of a circle?

Circumference

What is the formula to calculate the perimeter of a triangle?

P = side_1 + side_2 + side_3

What is the purpose of using a piece of string to measure the perimeter of a circle?

To estimate the circumference of the circle

Which of the following shapes has a perimeter that can be calculated using the formula P = 4 × side?

Square

What is the name of the special mathematical constant used in the formula to calculate the perimeter of a circle?

π

What is the unit of measurement for the perimeter of a shape?

mm, cm, m, or km

What is the name of the line that forms the boundary of a closed geometric figure?

Perimeter

Which of the following formulas is used to calculate the perimeter of a triangle?

P = side₁ + side₂ + side₃

What is the definition of the diameter of a circle?

The length from one edge of the circle to the other, passing through the centre

What is the definition of the area of a shape?

The amount of space inside the boundary of a flat object

Study Notes

Measuring Perimeter

  • Perimeter is the total length of the outside of a shape or the continuous line forming the boundary of a closed geometric figure.
  • Perimeter is measured in units such as mm, cm, m, or km.
  • To measure the perimeter of a rectangle, square, or triangle, measure the length of each side using a ruler and add the sides to get the perimeter.
  • To measure the perimeter of a circle (circumference), use a piece of string placed along the outline of the circle, then measure the string length on a ruler to estimate the perimeter.

Shape Definitions

  • A rectangle is a flat two-dimensional shape with both pairs of opposite sides equal in length and all adjacent sides at right angles (90°) to each other.
  • A square is a flat, two-dimensional shape with all four sides equal in length, and all adjacent sides at right angles (90°) to each other.
  • The circumference of a circle is the perimeter of a circle or the distance around the curved edge of a circle.

Formulae to Calculate Perimeter

  • Perimeter of a rectangle: P = 2 × length + 2 × width
  • Perimeter of a square: P = 4 × side
  • Perimeter of a triangle: P = side₁ + side₂ + side₃
  • Circumference of a circle: C = π × diameter or C = 2 × π × radius

Circle Definitions

  • Radius (r) is the length from the centre to any point on the edge of the circle.
  • Diameter (d) is the length from one edge of the circle to the other, passing through the centre.
  • Pi (π) is a special mathematical constant approximately equal to 3.142.

Measuring Area

  • Area is the size of a surface or plane or the amount of space inside the boundary of a flat (2-dimensional) object such as a square, triangle, or circle.
  • Area is measured in units such as mm², cm², m², or km².

Estimating Area

  • One way to estimate the area without using formulae is to place a square grid over the area and count how many squares fit within the shape.

Formulae to Calculate Area

  • Area of a rectangle: A = length × width
  • Area of a square: A = side × side = side²
  • Area of a triangle: A = (1/2) × base × height
  • Area of a circle: A = π × radius²

Perpendicular Definition

  • A perpendicular line is a straight line that lies at an angle of 90° to a given line, plane, or surface.

Measuring Perimeter

  • Perimeter is the total length of the outside of a shape or the continuous line forming the boundary of a closed geometric figure.
  • Perimeter is measured in units such as mm, cm, m, or km.
  • To measure the perimeter of a rectangle, square, or triangle, measure the length of each side using a ruler and add the sides to get the perimeter.
  • To measure the perimeter of a circle (circumference), use a piece of string placed along the outline of the circle, then measure the string length on a ruler to estimate the perimeter.

Shape Definitions

  • A rectangle is a flat two-dimensional shape with both pairs of opposite sides equal in length and all adjacent sides at right angles (90°) to each other.
  • A square is a flat, two-dimensional shape with all four sides equal in length, and all adjacent sides at right angles (90°) to each other.
  • The circumference of a circle is the perimeter of a circle or the distance around the curved edge of a circle.

Formulae to Calculate Perimeter

  • Perimeter of a rectangle: P = 2 × length + 2 × width
  • Perimeter of a square: P = 4 × side
  • Perimeter of a triangle: P = side₁ + side₂ + side₃
  • Circumference of a circle: C = π × diameter or C = 2 × π × radius

Circle Definitions

  • Radius (r) is the length from the centre to any point on the edge of the circle.
  • Diameter (d) is the length from one edge of the circle to the other, passing through the centre.
  • Pi (π) is a special mathematical constant approximately equal to 3.142.

Measuring Area

  • Area is the size of a surface or plane or the amount of space inside the boundary of a flat (2-dimensional) object such as a square, triangle, or circle.
  • Area is measured in units such as mm², cm², m², or km².

Estimating Area

  • One way to estimate the area without using formulae is to place a square grid over the area and count how many squares fit within the shape.

Formulae to Calculate Area

  • Area of a rectangle: A = length × width
  • Area of a square: A = side × side = side²
  • Area of a triangle: A = (1/2) × base × height
  • Area of a circle: A = π × radius²

Perpendicular Definition

  • A perpendicular line is a straight line that lies at an angle of 90° to a given line, plane, or surface.

Measuring Perimeter

  • Perimeter is the total length of the outside of a shape or the continuous line forming the boundary of a closed geometric figure.
  • Perimeter is measured in units such as mm, cm, m, or km.
  • To measure the perimeter of a rectangle, square, or triangle, measure the length of each side using a ruler and add the sides to get the perimeter.
  • To measure the perimeter of a circle (circumference), use a piece of string placed along the outline of the circle, then measure the string length on a ruler to estimate the perimeter.

Shape Definitions

  • A rectangle is a flat two-dimensional shape with both pairs of opposite sides equal in length and all adjacent sides at right angles (90°) to each other.
  • A square is a flat, two-dimensional shape with all four sides equal in length, and all adjacent sides at right angles (90°) to each other.
  • The circumference of a circle is the perimeter of a circle or the distance around the curved edge of a circle.

Formulae to Calculate Perimeter

  • Perimeter of a rectangle: P = 2 × length + 2 × width
  • Perimeter of a square: P = 4 × side
  • Perimeter of a triangle: P = side₁ + side₂ + side₃
  • Circumference of a circle: C = π × diameter or C = 2 × π × radius

Circle Definitions

  • Radius (r) is the length from the centre to any point on the edge of the circle.
  • Diameter (d) is the length from one edge of the circle to the other, passing through the centre.
  • Pi (π) is a special mathematical constant approximately equal to 3.142.

Measuring Area

  • Area is the size of a surface or plane or the amount of space inside the boundary of a flat (2-dimensional) object such as a square, triangle, or circle.
  • Area is measured in units such as mm², cm², m², or km².

Estimating Area

  • One way to estimate the area without using formulae is to place a square grid over the area and count how many squares fit within the shape.

Formulae to Calculate Area

  • Area of a rectangle: A = length × width
  • Area of a square: A = side × side = side²
  • Area of a triangle: A = (1/2) × base × height
  • Area of a circle: A = π × radius²

Perpendicular Definition

  • A perpendicular line is a straight line that lies at an angle of 90° to a given line, plane, or surface.

Learn about measuring the perimeter of various shapes, including rectangles, squares, triangles, and circles. Understand the concept of perimeter and how to calculate it using a ruler or string.

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