answersLogoWhite

0


Best Answer

A circle of radius, r, has area pi r2.

The largest square inside it is made up of four isosceles triangles

whose equal sides are of length, r, and thus has area 1/2 r2.

Thus the area of the contained square is 2 r2.

User Avatar

Wiki User

13y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Find the area of the largest square incribed in a circle?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

How find the area of a square when a circle is inside?

You find the area of the whole square first. Then you find the area of the circle inside of it And then subtract the area of the circle from the area of the square and then you get the shaded area of the square


Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius a?

The largest rectangle would be a square. If the circle has radius a, the diameter is 2a. This diameter would also be the diameter of a square of side length b. Using the Pythagorean theorem, b2 + b2 = (2a)2. 2b2 = 4a2 b2 = 2a2 b = √(2a2) or a√2 = the length of the sides of the square The area of a square of side length b is therefore (√(2a2))2 = 2a2 which is the largest area for a rectangle inscribed in a circle of radius a.


What dose it mean to square a circle?

It means that if you take a circle and find its area, you must now find a square with the same area. We cannot square the circle.


How do you find the area of a square with a semi-circle?

You add the area of the square with the area of the semi circle.


How do you find the area of a circle inside a square?

all you do is find the area of the circle... if you mean find the squares area, find the area of the circle, and then the square's area and subtract the squares area to the circles area


How do you find a square root of a circle?

A circle is not a number, it is a 2-dimensional shape. A number can have a square root, not a shape. So, a circle cannot have a square root!.


Inscribe a circle in a square of side 30 mm?

A circle with radius 15mm will fit in a 30mm square. Find the intersection of the square's diagonals, that is the center of the circle.


How do you find the radius of a circle inside a square?

The same as half the side of the square, as the radius of the circle is half its diameter, and the diameter of the circle is equal to the side of the square.


How do you find the radius of an inscribed circle of a square given the area of the square?

Half the square root of the square radius equals the circle radius.


How do you find the length of diameter when the center of the circle is unknown?

It'll be the largest chord of the circle.


How do you find the area of a circle in a square?

To find the area of a circle inscribed in a square, you can use the formula for the area of a circle (πr^2) and the properties of a square (all sides equal). Since the diameter of the circle is equal to a side of the square, you can find the radius of the circle by halving the side length of the square. Then, plug the radius value into the area of a circle formula to find the area.


How do you find area of a circle in a square?

Area of a circle = pi*radius2 The radius of the circle will be 1/2 the size of the length of a side of the square.