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Mathematics 19 Online
OpenStudy (anonymous):

What is the area of the shaded region in the figure below?

OpenStudy (anonymous):

hartnn (hartnn):

tried pythagoras theorem to get other side of rectangle ?

hartnn (hartnn):

one side of rect is 6 and radius of circle is 5, so u only need other side of rect to get the area of shaded region.....which u get by pythagoras theorem

OpenStudy (anonymous):

oh ok so i do the pythagoras theorem 3^2+b^2=5^2 9+b=25 25-9=16 suqare root is 4

OpenStudy (anonymous):

5^2=3^2+p^2 25-9=p^2 p=4 area of shaded region=area of circle - area of rectangel

hartnn (hartnn):

yes, thats your other side, = 4 now can u find shaded area ?

OpenStudy (anonymous):

how do i do that

hartnn (hartnn):

shaded region is the area of circle - area of rect , could u see that ?

OpenStudy (anonymous):

how do i get the area

OpenStudy (anonymous):

area shaded reg=pie * (5)^2 - 6*4 =25pie-24

hartnn (hartnn):

area of circle = pi * r^2

hartnn (hartnn):

area of rect = length * breadth

OpenStudy (anonymous):

oh ok so the answer should 25pie-24

hartnn (hartnn):

yup

OpenStudy (anonymous):

yous right

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