How do you fit the largest possible square inside of a circle?

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What is the area of the largest circle that can fit inside a square of side length 6 cm?

198/7 cm2
∴ The area of the largest circle that can be drawn inside the square is 198/7 cm2.

What is the area of the largest circle that can be drawn inside a square of a side 14 cm?

Find the area of the largest circle that can be drawn inside a rectangle with sides 18 cm and 14 cm. =154 sq cm.

How do you work out the size of a square inside a circle?

We’ve already seen how to find the length of a square’s diagonal from its side: it is a ·√2. The radius is half the diameter, so r=a·√2/2 or r=a/√2. The circumference is 2·r·π, so it is a·√2·π. And the area is π·r2, so it is π·a2/2.

How do you fit a square in a circle?

Starts here8:15How to fit the biggest possible square inside of a circle – YouTubeYouTube

How big of a square can fit in a circle?

The maximum square that fits into a circle is the square whose diagonal is also the circle’s diameter. The length of a square’s diagonal, thanks to Pythagoras, is the side’s length multiplied by the square root of two. Set this equal to the circle’s diameter and you have the mathematical relationship you need.

What is the area of a circle inside a square?

When a circle is inscribed in a square, the length of each side of the square is equal to the diameter of the circle. That is, the diameter of the inscribed circle is 8 units and therefore the radius is 4 units. The area of a circle of radius r units is A=πr2 .