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URGENT. Geometric Probability.

URGENT. Geometric Probability.-example-1
User Steve Jalim
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2 Answers

17 votes
17 votes

Answer:

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\%}

User ApocalypseFire
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3.2k points
21 votes
21 votes

Answer:

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%

User Bokmann
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3.1k points