Find the area of Big circle, with radius R.
1. R = 2r
2. Area of rectangle is 75
1. R = 2r
2. Area of rectangle is 75
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To get the area of the big circle we need the value for R.
Statement 1 doesn't contain any values so it will not be sufficient. BCE are left
statement 2 tells us that 75 = (R-r)(R+r) - which means that 75 = R^2 - r^2 but we don't have any relationship between R and r so we can't figure out what the nubmers would be (R and r do not have to be integers)
Together we have the equation from statement 2 and the relationship between r and R so we can solve (incidentally R = 10 and r = 5)
