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labwork [276]
3 years ago
11

I need to know this plz answer quick thanks - dely

Mathematics
1 answer:
Tpy6a [65]3 years ago
7 0
120/12=x
120/12=10
Then answer to this problem is B
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A square napkin is folded in half on the diagonal and placed on the diameter of a round plate (see diagram below). If the folded
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Answer:

A=81(\pi-1)\ in^2

Step-by-step explanation:

step 1

Find the area of the plate

The area of a circle is given by the formula

A=\pi r^{2}

we have

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A=\pi (9)^{2}\\A=81\pi\ in^2

step 2

Find the area of the square napkin folded (is a half of the area of the square napkin)

we know that

The diagonal of the square is the same that the diameter of the plate

Applying Pythagorean theorem

D^2=2b^2

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we have

D=18\ in

substitute

18^2=2b^2

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b^2=162\ in^2 -----> is the area of the square

Divide by 2

162/2=81\ in^2

step 3

Find the area of the space on the plate that is NOT covered by the napkin

we know that

The  area of the space on the plate that is NOT covered by the napkin, is equal to subtract the area of the square napkin folded (is a half of the area of the square napkin) from the area of the plate

so

A=(81\pi-81)\ in^2

simplify

A=81(\pi-1)\ in^2

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