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The radius of a square is the radius of the circumcircle, ie the distance from the centre of the square to any vertex, which is half the length of the diagonal of the square.

Using Pythagoras:

diagonal^2 = side^2 + side^2

→ diagonal = √(2 x side^2)

area = side^2

→ diagonal = √(2 x area)

radius = 1/2 x diagonal = 1/2 x √(2 x area)

→ radius = 1/2 x √(2 x 72 sq in) = 1/2 x √(144 sq in) = 1/2 x 12 in = 6 in.

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Q: If the area of a square is 72 sq in find the radius?
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Related questions

If the area of the square is 72 in squared find the radius?

oh wow, squares DO have radius'!& the answer IS 6(:


If the area of a square is 72 inches squared find the radius?

A square doesn't have a radius. A circle has. If the area of a square is 72 inches2, then each of its sides is 6 sqrt(2) = 8.485 inches. (rounded)


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