Question

A point is chosen at random in the square shown below. find the probability that the point is in the shaded circular region. each side of the square is 6cm , and the radius of the circle is 3cm . use the value 3.14 for π . round your answer to the nearest hundredth. 6cm 3cm

Answer 1

$|\Omega|=6^2=36\\ |A|=3.14\cdot 3^2=28.26\\\\ P(A)=\dfrac{28.26}{36}\approx0.79$