Question

How do I solve this please? Can SOMEONE please help me this and the ones Iposted on my page.

Answer 1

Answer: $\dfrac{15}{64}$

Step-by-step explanation:

Given

Inside radius of figure $r_1=\frac{14}{2}=7\ ft$

Outside radius of figure $r_2=\frac{16}{2}=8\ ft$

Area of outside region is $A_1=\pi (8^2)$

Area of inside region $A_2=\pi (7)^2$

Area of shaded region $A_1-A_2$

Probability that point lies inside the shaded region is

$\Rightarrow P=\dfrac{A_1-A_2}{A_1}\\\\\Rightarrow P=\dfrac{\pi (8^2-7^2)}{\pi 8^2}\\\\\Rightarrow P=\dfrac{64-49}{64}\\\\\Rightarrow P=\dfrac{15}{64}$