What is the area of a square circumscribed around a circle with a radius of 10 centimeters?

1 Answer
smendyka
Jan 18, 2018

See a solution process below:

Explanation:

Because the square is circumscribed or drawn around the outside of the circle, each side of the square is #10"cm" + 10"cm" = 20"cm"# long.

The Area of a square is:

#A = s^2#

Substituting #20"cm"# for #s# gives the area of this square as:

#A = (20"cm")^2 = 400"cm"^2# or 400 square centimeters.

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