A round 4 ft wide hot tub is being built into a 16 ft by 26 ft rectangular deck. How much decking is needed for the surface of the deck?

Question

A round 4 ft wide hot tub is being built into a 16 ft by 26 ft rectangular deck.  How much decking is needed for the surface of the deck?

anonymous · Answer

$$\pi$$

anonymous · Answer

If I understood the question correct, you need to subtract the area of the hot tub from the area of the rectangular deck. 
If the hot tub is 4 ft wide, then the radius is 2 ft. For the circle A=πr^2, for the rectangular A=l*w
A=πr^2=3.14*2^2=12.56
A=l*w=26*16=416
416-12.56=403.44
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