A target with a diameter of 28 cm has 4 scoring zones formed by concentric circles. The diameter of the center circle is 4 cm. The width of each ring is 4 cm. A dart hits the target at a random point. Find the probability that it will hit a point in the yellow region.

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:

⇒

⇒               ...R1=14 cm

⇒ 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% .

1) c 2143.6 cm

2) c 113.0 m

3) a 33.5 ft

4)   d 2 cm

5) c 20 mm

6) 180 in

7) d 120 ft