exam Maths Puzzle Numerical Ability

There is an arch above a door frame. The door frame is 9 feet wide and the arch is 3 feet high. Find the diameter of the circle?

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exam Other Question

When a number is subtracted from -7, the absolute value of the difference is more than 3. Use interval notation to express the set of all numbers that satisfy this condition. Can you please help with this one?
(16 - x2)/
(x3 - 2x2 - 8x)
So far I have:
(4-x)(4+x) over
x(x+2)(x-4)
Do this look right and is it as far as I can go?