Mensuration of Plane Figures

7/28/2019 Mensuration of Plane Figures

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#4 and #14


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Problem #4

Find the length of the

diagonal of: (a) a squarein terms of its edge a; (b) a

rectangle in terms of itsbase band its altitude h.


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SolutionPythagorean Theorem Diagonal


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Solution


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Problem #4The plane figure shown in the figure

consists of an isosceles trapezoid(non-parallel sides equal) and asegment of a circle. If the non-

parallel sides are tangent to thesegment at points A and B, find the

area of the composite figure.


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Solution


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Solution

AO = WO = BO = radius of a circle


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Solution

O= center of a circle


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SolutionAC//WY//BD

and are tangent to

both AB and EF


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Solution

AE and BF are tangents


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Solution


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Solution

equilateral triangle ABO,with AO = BO = AB = 3


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SolutionWOY is bisector of angles AOB and XOZtherefore:


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SolutionGiven that WOY = 5 and

assumed that WO = 3,hence OY = 2


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Solution


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Solution


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SOLUTION


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SOLUTION

Mensuration of Plane Figures

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