Make a ven diagram for a rhombus and a parallelogram

Mathematics

1 answer:

larisa86 [58]3 years ago

3 0

Step-by-step answer:

First we need to know the properties of the given figures.

There are many ways to describe a parallelogram. Here we will use the simple description that

"A parallelogram is a convex quadrilateral with opposite sides equal and parallel."

If we take pencil and paper to construct two parallel and equal lines, and join the corresponding points, we can only get a parallelogram (as long as the figure is convex.

Similarly, if we draw four equal lines to draw a parallelogram, we can only get a rhombus. Therefore a rhombus is a parallelogram with all four sides equal.

See the Venn diagram attached.

Note

(in fact, the minimum definition of a rhombus is "a parallelogram with two adjacent sides equal")

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A large washer has an outer radius of 10mm and a hole with a diameter of 14mm. What is the area of the top surface of the washer

choli [55]

<h2>Answer:</h2>

The area of the top surface of the washer is: 160.14 square mm.

<h2>Step-by-step explanation:</h2>

The top of the surface is in the shape of a annulus with a outer radius of 10 mm and a inner radius of 7 mm ( since the diameter of the hole is: 14 mm and we know that the radius is half of the diameter)

Now, we know that the area of the annulus region is given by:

$Area=\pi (R^2-r^2)$

where R is the outer radius and r is the inner radius.

Here we have:

$R=10\ mm\\\\and\\\\r=7\ mm$

Hence, we have:

$Area\ of\ top\ surface=\pi (10^2-7^2)\\\\i.e.\\\\Area\ of\ top\ surface=\pi (100-49)\\\\i.e.\\\\Area\ of\ top\ surface=\pi\cdot 51\\\\i.e.\\\\Area\ of\ top\ surface=160.14\ mm^2$