Question

URGENT. Geometric Probability.

Answer 1

Hello,

Explanation:

heigth of the equilateral triangle:

`h=3*(√(3))/(2)`

Area of the triangle:

`A=(6*3√(3) )/(2*2) =(9√(3) )/(2) \\\\`

Area of the disk:

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

Probability:

`p=(9√(3) )/(2*16*\pi)=0.15506125....\approx{15.5\%}`

Answer 2

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=(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:

`(19.5)/(50.2654)*100=38.8`%