Question

Find the probability of “landing” in the shaded region of the figures below. Round your answer to the nearest hundredth.

3. Square with side length 40 ft

Answer 1

78.5%

Explanation:

We can find the area of both shapes then divide to find the probability.

Square area:

40 * 40 = 1600ft²

Circle area with diameter [ 1/4πd² ]:

1/4π(40)²

1/4π(1600)

0.785(1600)

1,256

Now divide both areas to find the probability.

1256/1600 = 0.785

0.785 * 100% = 78.5%

Best of Luck!

Answer 2

Area of the square:

• A = a² = 40² = 1600 ft²

Area of the circle:

• A = πr² = 3.14*(40/2)² = 1256 ft²

Probability of landing in the shaded region:

• P = 1256/1600 = 0.785 or 78.5%