The probability that the dart will land on the shaded region is 40/81
What is the probability that the dart will land on the shaded region?
From the question, we have the following parameters that can be used in our computation:
The circle
The shaded area is calculated using
Shaded area = Area of circle with radius 7 - Area of circle with radius 3
So, we have
Shaded area = π * 7² - π * 3²
Shaded area = 40π
The area of the whole circle is
Area = π * 9²
Area = 81π
So, the required probability is
P = 40π/81π
Evaluate
P = 40/81
Hence, the probability is 40/81
Question
A target shown in the given figure consists of three concentric circle of radii 3, 7 and 9 cm respectively. A dart is thrown and lands on the target. What is the probability that the dart will land on the shaded region?