The probability that a randomly selected point in a circle will be in the shaded region is: 0.38
Step-by-step explanation:
To find the required probability, we have to find the area of circle and the shaded region.
first of all
Area of Circle:
Radius of circle = 4 cm
[tex]A_c = \pi r^2\\=3.14 * (4)^2\\=3.14*16\\=50.24\ cm^2[/tex]
Area of shaded region:
The shaded region is a triangle
Height of triangle = 4+2.5 = 6.5cm
Base = 3+3 = 6cm
[tex]A_T = 0.5 * Base * Height\\= 0.5 * 6 * 6.5\\=19.5\ cm^2[/tex]
The probability of selecting a point randomly and it being in the shaded region will be:
[tex]\frac{Area\ of\ shaded\ region}{Area\ of\ circle}\\= \frac{19.5}{50.24}\\=0.388 => 0.38[/tex]
The probability that a randomly selected point in a circle will be in the shaded region is: 0.38
Keywords: Probability
Learn more about probability at:
- brainly.com/question/2154850
- brainly.com/question/2367554
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