Find the circumference of a circle circumscribed about a square and the area of a circle inscribed in the same square if the side of the square is 20 cm.
From the condition, we know that the circle is circumscribed about a square, and we are also given the value of the side of the square – 20 cm.
To find the circumference of a circle, you must first of all find its radius using the following formula.
R = a / √2.
Substitute and calculate: R = 20 / √2 = 10√2 cm.
l = 2πR = 2 * π * 10√2 = 20π√2 cm circumcircle length.
Find the radius of the inscribed circle:
r = a / 2 = 20/2 = 10 cm.
We are looking for the area of the circle by the formula:
S = πR ^ 2;
S = π * 10 ^ 2 = 3.14 * 100 = 314 cm2 inscribed area.
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