Question

Abel throws a dart that hits the square shown. What is the probability that the dart does NOT hit a point in the circle?

Answer 1

A square side is twice of the radius

sq side: 4 x 2

sq side: 8

find the area of the square.

A = b x h

A = (8) x (8)

A = 64

Area of square is 64

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Find the area of the circle

Area of circle:

A = πr²

A = π(4)²

A = 16π

A = 16(3.14)

A = 50.24

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Divide the circle from the total

50.24/64

50.24/64 = 0.785

0.785 = 78.5/100 = 78.5%

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Subtract the circle's percentage from 100% (the total)

100 - 78.5 = 21.5

21.5% is your chance of not hitting a point in the circle.

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21.5%, or (B), is your answer

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hope this helps