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    Math 7 Q2 Fifth Week

    Uploaded by

    Paulyn Marie
    The document provides formulas and examples for calculating the area of different shapes. It defines area as the space occupied by a flat shape or surface of an object. Formulas are given for calculating the area of squares, rectangles, triangles, trapezoids, and circles. Examples are worked through applying the formulas to find the area of each shape given specific measurements. The key formulas and steps for calculating area are summarized at the end.

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    Math 7 Q2 Fifth Week

    Uploaded by

    Paulyn Marie
    30 views22 pages
    The document provides formulas and examples for calculating the area of different shapes. It defines area as the space occupied by a flat shape or surface of an object. Formulas are given for calculating the area of squares, rectangles, triangles, trapezoids, and circles. Examples are worked through applying the formulas to find the area of each shape given specific measurements. The key formulas and steps for calculating area are summarized at the end.

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    The document provides formulas and examples for calculating the area of different shapes. It defines area as the space occupied by a flat shape or surface of an object. Formulas are given for calculating the area of squares, rectangles, triangles, trapezoids, and circles. Examples are worked through applying the formulas to find the area of each shape given specific measurements. The key formulas and steps for calculating area are summarized at the end.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    30 views22 pages

    Math 7 Q2 Fifth Week

    Uploaded by

    Paulyn Marie
    The document provides formulas and examples for calculating the area of different shapes. It defines area as the space occupied by a flat shape or surface of an object. Formulas are given for calculating the area of squares, rectangles, triangles, trapezoids, and circles. Examples are worked through applying the formulas to find the area of each shape given specific measurements. The key formulas and steps for calculating area are summarized at the end.

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    of 22

    GOOD MORNING

    WELCOME TO
    MATH+ CLASS
    MATH+7

    Measuring Area
    Area (A) is defined as the space
    occupied by a flat shape or the
    surface of an object.

    Area (A) is measured in squared


    units.
    Formula :

    Area of a
    Area of a Square Area of a triangle
    Rectangle

    1 𝑏ℎ
    𝐴 = 𝑙𝑤 𝐴= 𝑏ℎ 𝑜𝑟 𝐴 =
    𝐴= 𝑠2 𝑜𝑟 𝐴 = 𝑠 𝑠 2 2
    MATH+7

    Measuring Area
    Formula of a Trapezoid:
    Area of a Trapezoid
    1
    𝐴 = ℎ(𝑏1 + 𝑏2 )
    2
    Base 1(𝑏1 )

    Height (h)

    Base 2(𝑏2 )
    𝑏1 = 5 ft
    Example: Example: Find the
    area of the given figure. h=4ft

    𝑏2 = 11𝑓𝑡
    Solution:
    1
    𝐴 = ℎ(𝑏1 + 𝑏2 )
    2
    1
    𝐴 = (4)(5 + 11)
    2
    𝐴 = 32 𝑓𝑡 2
    Answer: A = 32 𝑓𝑡 2
    𝑏1 = 10 ft
    Try: Find the area of the given
    figure. h=5 ft

    𝑏2 = 14𝑓𝑡
    Solution:
    1
    𝐴 = ℎ(𝑏1 + 𝑏2 )
    2
    1
    𝐴 = (5)(10 + 14)
    2
    𝐴 = 60 𝑓𝑡 2
    Answer: A = 60 𝑓𝑡 2
    Formula of a Circle:
    Area of a circle:
    2
    𝐴 = 𝜋𝑟
    If diameter is given and radius is unknown
    𝑑
    use 𝑟 = to find the radius.
    2

    NOTE: 𝜋 ≈ 3.14
    Example: The radius of a circle measures 9 in.
    Find its area.

    Solution:
    𝐴 = 𝜋𝑟 2
    𝐴 = (3.14)(9)2
    𝐴 = 3.14 9 × 9
    𝐴 = 254.34 𝑖𝑛2
    Answer: A = 254.34 𝑖𝑛2
    Example: The diameter of a circle measures 17 in.
    Find its area.
    Solution:
    𝑑 𝐴 = 𝜋𝑟 2
    𝑟= 2
    2 𝐴 = (3.14)(8.5)
    17
    𝑟= 𝐴 = 3.14 8.5 × 8.5
    2 𝐴 = 226.865 𝑖𝑛 2
    𝑟 = 8.5 𝑖𝑛
    Try: The radius of a circle measures 5 in. Find its
    area.
    Solution:
    2
    𝐴 = 𝜋𝑟
    2
    𝐴 = (3.14)(5)
    𝐴 = 3.14 5 × 5
    2
    𝐴 = 78.5 𝑖𝑛
    Answer: A = 78.5 𝑖𝑛2
    Try: The diameter of a circle measures 14 in. Find
    its area.
    Solution: 2
    𝑑 𝐴 = 𝜋𝑟
    𝑟= 𝐴 = (3.14)(7) 2
    2
    14 𝐴 = 3.14 7 × 7
    𝑟= 𝐴 = 153.86 𝑖𝑛 2
    2
    𝑟=7
    Jk has an empty pringles. He wants to cover the top of the
    pringles. If its diameter is 3 inches, what is the area of the
    cover?
    Solution:
    𝑑 𝐴 = 𝜋𝑟 2
    𝑟= 𝐴 = (3.14)(1.5)2
    2
    3 𝐴 = 3.14 1.5 × 1.5
    𝑟= 𝐴 = 7.065 𝑖𝑛 2
    2
    𝑟 = 1.5
    Summary of Formula :

    Area of a Area of a Area of a Area of a Area of a


    Square Rectangle triangle Trapezoid Circle

    1
    𝐴 = 𝑠2 𝐴 = 𝑏ℎ 1 𝐴 = 𝜋𝑟 2
    𝐴 = 𝑙𝑤 2 𝐴 = ℎ(𝑏1 + 𝑏2 )
    𝑜𝑟 𝑜𝑟 2
    𝐴= 𝑠 𝑠 𝑏ℎ NOTE: 𝜋 ≈ 3.14
    𝐴=
    2
    - END OF LESSON -
    Synchronous
    Activity Start
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    Deadline:Today
    Goodbye
    Class!

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