I need to find the area of the shaded (grey) region in the above picture. All sides of the cross are 4. I feel like this question has an easy answer, but I cannot seem to figure it out. I tried to find the area of the circle, but I can't find the radius/diameter. Also, I couldn't find what part of the area each shaded region is. I'm at a total loss with this one. If anyone could help, it'd be much appreciated. (If there is a similar question anywhere on Stack Exchange or elsewhere, that would also be appreciated) Thank you!
So when I again attempted the question, I found the diameter, and so the area of the circle. However, what I fail to see is how to only subtract the shaded areas. Would just finding the area of the cross and then the area of the segments at the end of each end of the cross work? How would one do so?
Update: The ideal answer would be about as simple as what you might expect in a high school geometry class. Thank you all for your answers.