CPM Homework Help : A2C Problem 2-59

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Home > A2C > Chapter 2 > Lesson 2.1.4 > Problem 2-59

2-59.

A dart hits each dartboard below at random. What is the probability that the dart will land in the darkly shaded area?

Step 1 (a):
First find the total area of the dartboard. $A = r^{2}$ ?
$16π$
Step 2(a):
Subtract the area of the lighter, smaller circle from the total area of the whole circle.
$16π − 4π = 12π$
Step 3(a):
Divide the difference between the areas of the dartboardand the small circle by the area of the dartboard.
$\frac{12\pi}{16\pi}$
Answer (a):
$\text{The probability is }\frac{3}{4}.$

Hint (b):
Use the same method from part (a).

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