Question

Linda throws a dart that hits the square shown below:

A square is drawn. A circle of radius 9 units touches the sides of the square.


What is the probability that the dart hits a point in the circle?

18%

21.5%

78.5%

81%

Answer 1

78.5%

Explanation:

Answer 2

the picture in the attached figure

step 1
find the area of a square
area of a square=b²
b in this problem is the diameter of a circle
b=2*9------> b=18 units²
area of a square=18²-----> 324 units²

step 2
find the area of a circle
area of a circle=pi*r²
r=9 units
area of a circle=pi*9²------> 254.34 units²

step 3
find the probability that the dart hits a point in the circle
P=area of the circle/area of the square
P=254.34/324------> P=0.785-----> 78.5%

the answer is
78.5%