If a circle with a radius of 10 cm is placed inside a square with a length of 20 cm, what is the
probability that a dart thrown will land inside of the circle?
probability that a dart thrown will land inside of the circle?
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Area of the square = 20^2 = 400 sqcm
Area of the circle = pi * 10^2 = 314.1592654 sqcm
Probability = 314.1592654/400 = 0.785398163
Answer:
The probability that a dart thrown will land inside of the circle = 78.54%
Assuming, of course, that the dart ONLY hits EITHER the area inside the circle OR the area outside the circle and inside the square.
Area of the circle = pi * 10^2 = 314.1592654 sqcm
Probability = 314.1592654/400 = 0.785398163
Answer:
The probability that a dart thrown will land inside of the circle = 78.54%
Assuming, of course, that the dart ONLY hits EITHER the area inside the circle OR the area outside the circle and inside the square.
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The probability will be the ratio of the area of the circle to the area of the square (the total dart board).
Area of the circle is pi*r^2, or 100*pi or about 314.
Area of the square is 20^2 or 400.
314/400 is about .785, so that's about a 78.5% probability.
Area of the circle is pi*r^2, or 100*pi or about 314.
Area of the square is 20^2 or 400.
314/400 is about .785, so that's about a 78.5% probability.
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area circle/area square
pi(r^2)/s^2
pi(10^2)/20^2
100pi/400
1/4(pi)
pi(r^2)/s^2
pi(10^2)/20^2
100pi/400
1/4(pi)
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100pi/400
Area of the circle/area of the square
Area of the circle/area of the square