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gayaneshka [121]
3 years ago
7

Need an answer quick. If a circle with a diameter of 124 m is inscribed in a square, what is the probability that a point picked

at random in the square is in the shaded region? Round to the nearest thousandth.
A.
0.013
B.
0.032
C.
0.215
D.
0.785

Mathematics
1 answer:
madreJ [45]3 years ago
5 0

Answer: C.  0.215


Step-by-step explanation:

Given: A circle with a diameter of 124 m is inscribed in a square .

Thus side of square =124 m

Now, area of square=(side)^2=(124)^2=15,376\ m^2

Radius of circle=\frac{d}{2}=\frac{124}{2}=62\ m

Area of circle=\pi\ r^2=3.14\times(62)^2=3.14\times3.14=12,070.16\ m^2

Now, Area of shaded region= Area of square-Area of circle

Area of shaded region=15,376-12,070.16=3,305.84\ m^2

Probability that a point picked at random in the square is in the shaded region

=\frac{\text{area of shaded region}}{\text{area of square}}=\frac{3305.84}{15376}=0.215



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