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

a

Explanation:

Answer 2

Answer: B.25%

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)}=(A_1)/(A_2)=(4\pi)/(16\pi)=0.25`

In percent, the probability that it hits the yellow region X
`=0.25*100=25\%`