answersLogoWhite

0

A square with an area of 2 m2 has sides of sqrt(2) m.

The diameter of the inscribed circle is, therefore sqrt(2) m.

The radius is sqrt(2)/2 m

The area of a circle with radius sqrt(2)/2 is pi*[sqrt(2)/2]2 = pi*2/4 or pi/2 = 1.5708 m2

User Avatar

Wiki User

14y ago

What else can I help you with?

Continue Learning about Algebra

A square is inscribed in a circle of radius 7cmFind the area of square and the area shaded?

The area of the square is 98 square cm. Assuming the shaded area is the remainder of the circle, its area is 55.9 square cm (approx).


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


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


What is the ratio of the area of the circumscribed square to the area of the inscribed square?

If we denote the measure of the length side of the circumscribed square with a, then the vertexes of the inscribed square will point at the midpoint of the side, a, of the circumscribed square.The area of the circumscribed square is a^2The square measure of the length of the inscribed square, which is also the area of this square, will be equal to [(a/2)^2 + (a/2)^2]. Let's find it:[(a/2)^2 + (a/2)^2]= (a^2/4 + a^2/4)= 2(a^2)/4= a^2/2Thus their ratio is:a^2/(a^2/2)=[(a^2)(2)]/a^2 Simplify;= 2


What are the area and perimeter of a square inscribed inside a circle 30 ft in diameter?

Square inscribed a 30 ft diameter has a diagonal equal to 30 ft. Use the Pythagorean theorem, and side^2 + side^2 = 30^2 2s^2 = 900 s^2 = 450 side length = square root of 450, simplify 15sqrt(2) = s Area = s^2 = 450 square feet Perimeter = 4s = 4*15*sqrt(2) = 60 times the square root of 2

Related Questions

If you are given a square with a circle inscribed in it and the area of the square is 100 m what is the area of the circle?

78.53


There is a circle with an inscribed square. If the area of the square is 49 m2 what is the area of the circle?

the area of a square is 49m^2 what is the length of one of its sides


What is the area of a square inscribed in a circle of radius 10 cm?

The area of square is : 100.0


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

If yo have the area of the circle, the square is irrelevant. Radius = sqrt(Area/pi)


A square is inscribed in a circle of radius 7cm what is the area of the square?

98 cm^2


What is the area of a square inscribed in a circle with the radius 6?

The answer is 72, i think!


A square is inscribed in a circle of radius 7cmFind the area of square and the area shaded?

The area of the square is 98 square cm. Assuming the shaded area is the remainder of the circle, its area is 55.9 square cm (approx).


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.


Circle x is inscribed is square ABCD if the radius of circle x is 10 cm what is the area of square ABCD?

400 square cm


How do you work out the area of a circle in a square?

The formula for the area of a circle is pi x radius2. The radius is half the diameter, and the diameter of an inscribed circle is the same as the length of a side of the square.The formula for the area of a circle is pi x radius2. The radius is half the diameter, and the diameter of an inscribed circle is the same as the length of a side of the square.The formula for the area of a circle is pi x radius2. The radius is half the diameter, and the diameter of an inscribed circle is the same as the length of a side of the square.The formula for the area of a circle is pi x radius2. The radius is half the diameter, and the diameter of an inscribed circle is the same as the length of a side 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.


Prove that of all the rectangles inscribed in a fixed circle the square has the maximum area?

well it depends on what square your talking about.