What is the area of the shaded region in this shape ؟
رفع الصور
Hello, Mhmh96!
You should have supplied more information.
Even if your diagram were symmetric, we're not sure what the figure is.
I'll assume that "Prove It" was correct . . . These are quarter-circles.
Your diagram says the length of two "petals" is 4 units.Code:* * * * * * * * * * * * * * *:* * ::: * *:::* * * *:::* * * *:::* * .*.*.*. ::: .*.*.*. * *:::::::::::**:**:::::::::::* * *:::::::::::::::*:::::::::::::::* * *:::::::::::**:**:::::::::::* * * * * ::: * * * * *:::* * * *:::* * * *:::* * ::: * *:* * * * * * * * * * * * * * *
Then the radius of the circles is $\displaystyle \sqrt{2}.$
I'll let you work out the details.
I get an answer of $\displaystyle 4(\pi - 2)$
Hello, Mhmh96!
How did you find the radius?
Chord $\displaystyle AB$ is 2 units long.Code:* * * * * * * * * * C * * o * * r * * r * *.*.*.*.* * *:::::::::::* * A o - - - - - - - o B * *:::: 2 ::::* * * * * * * * * * * * * * * * * * *
Triangle $\displaystyle ABC$ is an isosceles right triangle.
Hence, its legs (the radius) is: $\displaystyle \frac{2}{\sqrt{2}} \,=\,\sqrt{2}$