Gr 10 Math Lit: Ch 5.3 Parameter and Area
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Questions and Answers

What is the unit of measurement for perimeter?

  • mm², cm², m², or km²
  • mg, cg, mg, kg
  • cm³, m³, km³
  • mm, cm, m, or km (correct)

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

  • P = 2 × length + 2 × width (correct)
  • P = length × width
  • P = length + width
  • P = 2 × length + width

    • What is the perimeter of a circle called?

  • Circumference (correct)
  • Pi
  • Radius
  • Diameter

    • What is the definition of a square?

    <p>A flat two-dimensional shape with all four sides equal in length, and all adjacent sides at right angles (90°) to each other.</p> Signup and view all the answers

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

    <p>C = 2 × π × radius</p> Signup and view all the answers

    What is the unit of measurement for area?

    <p>mm², cm², m², or km²</p> Signup and view all the answers

    What is the definition of a rectangle?

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

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

    <p>P = side₁ + side₂ + side₃</p> Signup and view all the answers

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

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

    How is the perimeter of a circle measured?

    <p>Using a piece of string placed along the outline of the circle</p> Signup and view all the answers

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

    <p>P = 4 × side</p> Signup and view all the answers

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

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

    What is the size of a surface or plane?

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

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

    <p>mm², cm², m², or km²</p> Signup and view all the answers

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

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

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

    <p>P = side_1 + side_2 + side_3</p> Signup and view all the answers

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

    <p>To estimate the circumference of the circle</p> Signup and view all the answers

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

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

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

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

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

    <p>mm, cm, m, or km</p> Signup and view all the answers

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

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

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

    <p>P = side₁ + side₂ + side₃</p> Signup and view all the answers

    What is the definition of the diameter of a circle?

    <p>The length from one edge of the circle to the other, passing through the centre</p> Signup and view all the answers

    What is the definition of the area of a shape?

    <p>The amount of space inside the boundary of a flat object</p> Signup and view all the answers

    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.

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    Description

    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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