Question

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%

Answer 1

Answer:

a

Step-by-step explanation:

Answer 2

Answer:   B.25%

Step-by-step explanation:

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

$A=\pi r^2$, 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 :

$A_1=\pi(2)^2=4\pi\text{ inches}^2$

The radius of the entire target region = 4 inches

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

$A_2=\pi(4)^2=16pi\text{ inches}^2$

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

$\text{P(X region)}=\dfrac{A_1}{A_2}=\dfrac{4\pi}{16\pi}=0.25$

In percent, the probability that it hits the yellow region X$=0.25\times100=25\%$