You want to embroider a square design. You have an embroidery hoop with a six inch diameter. Find the largest value of x so that the entire square will fit into the hoop? Round to the nearest tenth. By the way, x on the diagram is the edges of the square inside of the circle.

Question

campbell_st · Answer

well the diameter of the circle will be the diagonal of the square. 

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campbell_st · Answer

and you know the side length is x and the diameter is 6 inches 

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there are several ways to do this 

so if the diameter is 6 inches the radius is 3 inches... 

use pythagoras' theorem with both shorter sides 3 inches... 

that will allow you to find x

anonymous · Answer

Thank you!

anonymous · Answer

would i answer this as b= 3sqrt3? Im not quite sure.

campbell_st · Answer

I thought its 

$$3 \sqrt{2}$$

campbell_st · Answer

but you need to evaluate your answer and round to 1 decimal place.

anonymous · Answer

I got 5.2... is that right?

campbell_st · Answer

umm try 

$$3 \times \sqrt{2} = $$

on a calculation... 

or even 

$$\sqrt{18} = $$