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there is a circle inside of a square and the rest of the square is shaded except for the circle. explain how i can find out the area of the shaded region.

2007-06-19 14:02:21 · 10 answers · asked by bleach145 1 in Science & Mathematics Mathematics

10 answers

I think the S=10 is the facial expression of the asker, like, smileys.

anyway, to find out the area of the shaded region, you just need to do the following in the order of:

1. the area of the square
2. the area of the circle
3. (area of square) minus (area of circle)

2007-06-19 15:03:24 · answer #1 · answered by jurassicko 4 · 0 0

Firstly, i need to know how long is the side of the square. If you know that, then divide the value of the side by 2. Now, you have the radius of the circle. Find the area of the circle by A=r^2pi. Then find the area of the square by A=s^2. Then,
(s^2) - (r^2pi). That is your answer.

2007-06-19 14:33:48 · answer #2 · answered by Anonymous · 0 0

to find the shaded area, subtract the area of the circle from the area of square

Shaded area = Area of square - area of circle

Shaded area = s^2 - r^2 pi

the sided of the square is 10, it is also the diameter of the circle.

radius is half of diameter
radius = 5

Shaded area = 10^2 - (5)^2 pi
Shaded area = 100 - 25pi unit^2

2007-06-19 14:08:02 · answer #3 · answered by      7 · 1 0

Pi is an irrational number, like the square root of two. This means that it cannot be represented by a fraction and its decimal representation never comes to a repeating number (like .1666666666). On supercomputers they've calculated pi out to over a million digits, but no one knows the exact value of pi and no one ever will. Like a previous answerer said, it is the circumference divided by the diameter, but that's only a definition in geometric terms.

2016-05-20 01:45:56 · answer #4 · answered by Anonymous · 0 0

side of square is s = 10

area of square is s^2 = 100

diameter of circle = side of square = 10

radius of circle = 5

area of circle = pi * r^2 = 25 pi

area of shaded region = (100 - 25 pi ) square units

2007-06-19 14:07:21 · answer #5 · answered by TENBONG 3 · 2 0

Let us,for argument sake, assume that square is of side 10 cm and diameter of circle = 10 cm

Area of circle = π r²
Area of circle = π x 5² cm²
Area of circle = 25π cm²
Area of circle = 78.5 cm²

Area of square = 10 x 10 cm²
Area of square = 100 cm²

Shaded area = 100 - 78.5 cm²
Shaded area = 22.5 cm²

2007-06-19 23:42:20 · answer #6 · answered by Como 7 · 0 0

If s=side, then s=diameter, too.

Just subtract the area of the circle form the area of the square.

A(circle)=(pi)r^2
A(square)=s^2

If s=10, then the answer is 100-25(pi)

2007-06-19 14:09:15 · answer #7 · answered by Chichochan 2 · 1 0

What does the S stand for? is the the length/width of the square? The radius of the circle?

2007-06-19 14:06:04 · answer #8 · answered by Anonymous · 0 1

the length of the sides of the square would equal the diameter of the circle.

area= (3.14)(1/2xthe diameter)^2

2007-06-19 14:12:08 · answer #9 · answered by Anonymous · 0 0

what does S stand for length of the square, perimeter, radius?

2007-06-19 14:07:10 · answer #10 · answered by ignoramus_the_great 7 · 0 1

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