Question

suponha que um ponto atingisse aleatoriamente algum ponto da circunferência abaixo. qual é a probabilidade de atingir a região sombreada? draw show your work here enter your answer check

Explanation:

Step1: Recall the probability formula for a sector

The probability \( P \) of hitting a sector is \( P=\frac{\text{Central angle of the sector}}{\text{Total central angle of the circle}}\). The total central angle of a circle is \( 360^{\circ}\).

Step2: Substitute the values

Here, the central angle of the shaded sector is \( 41^{\circ}\). So, \( P = \frac{41}{360}\).

Answer:

\(\frac{41}{360}\)