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GenaCL600 [577]
2 years ago
5

Please answer!!!!! What is the probability that the dart will NOT land in the shades region?

Mathematics
1 answer:
Radda [10]2 years ago
6 0

Answer:

The answer is 25% also twenty five percent

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x-intercept(s):

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y-intercept(s):

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The sector COB is cut from the circle with center O. The ratio of the area of the sector removed from the whole circle to the ar
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Answer:

Ratio = \frac{R^2 - r^2 }{ r^2}

Step-by-step explanation:

Given

See attachment for circles

Required

Ratio of the outer sector to inner sector

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Area = \frac{\theta}{360}\pi r^2

For the inner circle

r \to radius

The sector of the inner circle has the following area

A_1 = \frac{\theta}{360}\pi r^2

For the whole circle

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The sector of the outer sector has the following area

A_2 = \frac{\theta}{360}\pi (R^2 - r^2)

So, the ratio of the outer sector to the inner sector is:

Ratio = A_2 : A_1

Ratio = \frac{\theta}{360}\pi (R^2 - r^2) : \frac{\theta}{360}\pi r^2

Cancel out common factor

Ratio = R^2 - r^2 : r^2

Express as fraction

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