answersLogoWhite

0


Best Answer

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.

User Avatar

Wiki User

9y ago
This answer is:
User Avatar
More answers
User Avatar

Anonymous

Lvl 1
3y ago

10

This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: If the area of a square is 72 sq in find the radius?
Write your answer...
Submit
Still have questions?
magnify glass
imp
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)


If the area of a square is 72 inch squared what is the radius?

No Radius in a SquareA radius is a feature of a circle, not a square. A square, whatever its area, does not have a radius.


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

Radius is a line segment that joins the center of a circle with any point on its circumference.He told you! Btw smart a$$ There IS a radius of a SQUARE. You are STUPID.And btw the answer is 6


What is the area of a square inscribed in a circle with the radius 6?

The answer is 72, i think!


What is the area of a half-circle with a radius of 12 ft square?

It is: 72*pi square feet if the radius is 12 feet and not12 square feet


If the area of a square is 72 what is the radius?

Since a square doesn't normally have a "radius" that we understand, and you haven't defined the term as you're using it, there's no way to answer that question.


What is the area of a circle with a radius of 7 inches use 3.14 for r?

Area = 3.14*72 = 153.86 square inches


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

Squares don't have radius... p.s. im a a*$*$*h*0*l*3 who doesnt know what im talking about... It would be 6... good luck with that A+LS


If the area of a square is 72 inches what is the radius?

Area can't be measured in "inches", and a square doesn't have a "radius". Aside from those minor picky details, this is a very exciting question. If we may be permitted to create a somewhat similar question that actually has answers . . . If the area of a square is 72 square inches, then the length of one of its sides is 6 sqrt(2) = 8.485 inches (rounded)


What is the area of a circle with radius equal to 7 in using pi equals 22 7?

Area = 22/7*72 = 154 square inches


What is the surface area a sphere with a radius of 7 meters?

Surface area = 4*pi*72 = 615.752 square meters to 3 decimal places