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Lemur [1.5K]
3 years ago
13

Can someone please solve

Mathematics
1 answer:
Shkiper50 [21]3 years ago
6 0
Take a look at the photo

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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

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