An archery target is shown. The radius of region X is 2 inches. and the radius of the entire target is 4 inches. if an arrow hits the target at random what is the probability that it hits the yellow region X. round to the nearest percent.
A.50%
B.25%
C.75%
D.83%

An archery target is shown The radius of region X is 2 inches and the radius of the entire target is 4 inches if an arrow hits the target at random what is the class=

Respuesta :

Answer:

a

Step-by-step explanation:


Answer:   B.25%

Step-by-step explanation:

We know that the area of a circle is given by ;-

[tex]A=\pi r^2[/tex], where r is the radius of the circle.

Given: The radius of the X region = 2 inches

Then, the area of the X region will be :

[tex]A_1=\pi(2)^2=4\pi\text{ inches}^2[/tex]

The radius of the entire target region = 4 inches

Then, the area of the entire target region will be :

[tex]A_2=\pi(4)^2=16pi\text{ inches}^2[/tex]

Now, the probability that it hits the yellow region X is given by ;-

[tex]\text{P(X region)}=\dfrac{A_1}{A_2}=\dfrac{4\pi}{16\pi}=0.25[/tex]

In percent, the probability that it hits the yellow region X[tex]=0.25\times100=25\%[/tex]

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