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A point in the figure is selected at random. Find the probability that the point will be in the part that is NOT shaded.

about 5%


about 25%


about 10%


about 20%

A point in the figure is selected at random. Find the probability that the point will-example-1

1 Answer

7 votes

Answer:

About 20%

Explanation:

The probability of a point on the un-shaded region will be given by;

Area of the shaded region/total area

Considering that the circles are of the same size, then the length of the square is 2d

Area of the square = 4d²

Area of the shaded = (4d² -4π(d/2)²

= 4d² -πd², but π = 22/7

= 6/7d²

Probability = (6/7d² ÷ 4d²) × 100%

= (6/28 d²) × 100%

= 21.42 %

Therefore; the answer is about 20%

User Chris Hunt
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