How do you find the largest square that 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 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.

What is the area of the largest circle that can be drawn inside the square of side 28cm?

so, the area of the circle is 22/7 x 14 cm2 = 44 cm.

What is the area of the largest square that can be inscribed in a semicircle of radius 10 cm?

The answer is 8 sq. units. It can be easily proven that the largest rectangle in a given circle is a square. We know that any two adjacent sides of a square are perpendicular.

How do you find the largest square area?

The area of the largest square that can be inscribed in a semicircle is (4r²)/5 , where r is the radius of the semicircle. Let’s suppose that b is the largest possible side of the square that can be inscribed in a semicircle.

What is the largest square that can fit inside a circle with radius 6 cm?

Unlock We find that for a square all four corners of which lie on the circle, the diagonal of the square is equal to the diameter of the circle. The area of the square with side 12/ sqrt 2 is = 144 / 2 = 72. Therefore the area of the largest square that can fit in a circle of radius 6 is 72.

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

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

What is the area of the largest square that can be inscribed in a unit cube?

9/8
What is the area of the largest square that can be inscribed on a unit cube (Trott 2004, p. 104)? The answer is 9/8, given by a square with vertices (1/4, 0, 0), (0, 1, 1/4), (3/4, 1, 1), (1, 0, 3/4), or any configuration equivalent by symmetry.

What is the area of the largest square that can be inscribed in a circle of radius12cm?

72cm2.

What is the area of the largest square you can fit inside a circle of radius 6 hint draw a diagram think about the diagonal of the square?

We find that for a square all four corners of which lie on the circle, the diagonal of the square is equal to the diameter of the circle. The area of the square with side 12/ sqrt 2 is = 144 / 2 = 72. Therefore the area of the largest square that can fit in a circle of radius 6 is 72.