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miss Akunina [59]
2 years ago
7

If Raj randomly chooses a point in the square below, what is the probability that point is not in the circle? Assume that pi = 3

.14 and round to the nearest tenth of a percent. A circle inside of a square. The radius of the circle is 4 units. The side of the square is 10 units.
Mathematics
1 answer:
hodyreva [135]2 years ago
6 0

Answer:

49.7%

Step-by-step explanation:

A cdircle is located within a square.

<u>Area of the circle</u>

Area = \pir^{2}, where r = 4 units.

Area Circle = 50.3 units^2

<u>Area of the square</u>

Area = l*w or l^2 for a square, since l = w

Area = (10 units)^2

Area = 100 units^2

<u>Area in the square but outside the circle</u>

This is the difference [Square minus Circle Areas]

Square minus Circle Areas = 100 - 50.3  or <u>49.7 units^2</u>

<u>Probability</u>

The probability of picking a point in the square that is not in the circle is the ration of the two areas:  <u>[Outside Circle/Square]x100%</u>

<u></u>

<u>(</u>49.7 units^2)/(100 units^2)x100% = 49.7%

<u></u>

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