Chapter 13, Problem 7MCQ

To determine

To calculate:

Probability that a point chosen at random lies in the shaded region.

Answer to Problem 7MCQ

The probability that a point chosen random lies in the shaded region is $51\%$ .

Explanation of Solution

Given information:

  

Calculations:

The area of shaded region is the different of areas of the rectangle and the circle.

So, it is $\left(10\times 16\right)-\pi {\left(5\right)}^2=81.5c{m}^2$ .

The shaded area is $\frac{81.5}{160}$ of the total area.

Therefore, the probability that a point chosen random lies in the shaded region is $\frac{81.5}{160}\approx 51\%$ .