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Need help please.
A point is chosen at random in the square.
What percent of the time will the point be in the circle?
Round to the nearest tenth of a percent.

Need help please A point is chosen at random in the square What percent of the time will the point be in the circle Round to the nearest tenth of a percent class=

Respuesta :

Answer:

78.5%

Step-by-step explanation:

The area of the square is equal to diameter squared

i.e 4 in × 4 in = 16 square inches

The area of the circle is π × r²

i.e π × 2² = 12.56637061

The percent of the time the point will be in the circle = (Area of the circle) ÷ (Area of the square) × 100

i.e [tex]\frac{12.56637061}{16}[/tex] × 100 = 78.53981631%

And is equal to 78.5% (rounded up to the nearest tenth of a percent)