How do you do these two problems? (note: they are lifted from: a site called regentsprep.org).
I feel like #6 is on the tip of my pencil. But I can't quite piece the info together. Circle 1 is x^2+y^2=16 and circle 2 is x^2+y^2=100. There must be some relationship (never mind that I reused x).
But #7 seems like there isn't enough information, no matter how many new radii or inscribed angles I draw, I can't find any useful information.
#6 is easier than you think! You have a right angle triangle with one node from the center of the sphere , another at the center of the slice, and a third at the intersection of the slice and the edge of the spehere. You know the values for the radius of the sphere and the circle, so use Pythagoras to find x.
#7 is so obvious you're just not seeing it. It would be similar to a problem like this: if x=y, and x=8, what is y?