Question

URGENT. Geometric Probability.

Answer 1

Answer:

Step-by-step explanation:

The height of the triangle is given as 6.5, the base is given as 6, therefore, the area of the triangle is:

$A=\frac{1}{2}(6)(6.5)\\A=19.5$

The area of the circle is:

$A=\pi(4)^2\\A=16\pi\\A=50.26548$

Divide the area of the triangle by the area of the circle:

$\frac{19.5}{50.2654}*100=38.8$%

Answer 2

Answer:

Hello,

Step-by-step explanation:

heigth of the equilateral triangle:

$h=3*\dfrac{\sqrt{3}}{2}$

Area of the triangle:

$A=\dfrac{6*3\sqrt{3} }{2*2} =\dfrac{9\sqrt{3} }{2}$

Area of the disk:

$S=\pi*4^2=16\pi$

Probability:

$p=\dfrac{9\sqrt{3} }{2*16*\pi}=0.15506125....\approx{15.5\%}$