A bullet will hit a target which is a circle with radius of 20 meter. If...

A bullet will hit a target which is a circle with radius of 20 meter. If the bullet assumed hit the circle and the probabilty of it to hit all points in the circle is the same. What is the probability of the bullet to hit the target at the area with the distance of 2 meter from the center of the circle to the west and east AND 3 meter from the center of the circle to the north and south?

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Expert Solution

Figure below shows the circle of radius 20 metres and the elliptical region where the bullet has to hit. The hitting region forms an ellipse with major axis 3+3 = 6 metres and minor axis 2+2 = 4 metres.
The area of elliptical region: , where a = 2, and b = 3
Area of elliptical region =
Area of circle = , where r = 20
Area of circle =
So, probability of bullet hitting the elliptical region =

orchestra answered 1 year ago

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