Answer:
The probability of a dart hitting the target in the yellow zone is 0.16 or 16% .
Step-by-step explanation:
Given:
Four concentric circles.
Radius of center circle, r = 4/2 = 2 cm
Radius of the yellow circle, R = 2+4 =6 cm
We have to find the probability that it will hit a point in the yellow region.
Formula to be used:
Probability (P) :
⇒
So,
Lets find the area of the yellow zone;
⇒ Area (yellow zone), = Area of yellow circle - Area of the black circle
⇒
⇒
⇒
⇒
⇒
⇒ cm^2
Now,
⇒ Area of the entire target, A1:
⇒
⇒ <em> ...R1=14 cm</em>
⇒ cm^2
Probability:
⇒
⇒
⇒
⇒
In terms of percentage it is
The probability of a dart hitting the target in the yellow zone is 0.16 or 16% .
