help please how would i do this
a dart is thrown and hits the square target shown. the target has a circle inscribed in it, and within that circle is inscribed another square. if the dart is equally likely to hit any point on the target, what is the probablity that the dart will land on the shaded area?

Question

help please how would i do this
a dart is thrown  and hits the square target shown. the target has a circle inscribed in it, and within that circle is inscribed another square. if the dart is equally likely to hit any point on the target, what is the probablity that the dart will land on the shaded area?

anonymous · Answer

attachment

campbell_st · Answer

well the small square has a side length of 2... it can be found for the triangle shown. 

the circle has a radius of square root 2.... 

and the outer square as a side length of $$2\sqrt{2}$$

so then you need to find the area of the large square. 

the shaded area is 

Shaded Area = area of the circle - area of the small square. 

P(shaded) = (shaded area)/(area of large square).

anonymous · Answer

how do  u know it has a side length of 2? oh ok u added the 1 2 times?

anonymous · Answer

ohhh nvm i see what u did with the triangle

anonymous · Answer

thanks for taking the time to reply :)

anonymous · Answer

how would we write the answer tho
4 over what

campbell_st · Answer

the total area of the large square

anonymous · Answer

i got 4 over 3.4 that doesnt look correct to me