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What is the length of the side of a square inscribed in a circle of radius 1 unit?
Wiki User
∙ 12y ago
6 cubic units ( from a mathematical brain)
Wiki User
∙ 12y ago
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How do you find the radius of a square?
A square does not have a radius. A square, with sides of length x units, can have an inscribed circle. Such a circle would have a radius of x/2 units. Or the square could have a circumscribing circle. This would have a radius of x/sqrt(2) units.
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)
What is the area of a square inscribed in a circle of radius 10 cm?
The area of square is : 100.0
A square is inscribed in a circle of area 18 PI find a side of a square?
Area of circle: 18pi Radius of circle: square root of 18 = 3 times square root of 2 Using Pythagoras' theorem each side of the square is 6 units in length
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
If Abcd is a square inscribed in a circle of radius 12 cm what is the length of a side?
16.97056274
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.
How do you find the radius of a square?
A square does not have a radius. A square, with sides of length x units, can have an inscribed circle. Such a circle would have a radius of x/2 units. Or the square could have a circumscribing circle. This would have a radius of x/sqrt(2) units.
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.
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 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)
What is the area of a square inscribed in a circle with the radius 6?
The answer is 72, i think!
What is the area of a square inscribed in a circle of radius 10 cm?
The area of square is : 100.0
A square is inscribed in a circle of radius 7cm what is the area of the square?
98 cm^2
The side of a square is 20 cmfind the areas of the circumscribed and inscribed circles?
The radius length r of the inscribed circle equals to one half of the length side of the square, 10 cm. The area A of the inscribed circle: A = pir2 = 102pi ≈ 314 cm2 The radius length r of the circumscribed circle equals to one half of the length diagonal of the square. Since the diagonals of the square are congruent and perpendicular to each other, and bisect the angles of the square, we have sin 45⁰ = length of one half of the diagonal/length of the square side sin 45⁰ = r/20 cm r = (20 cm)(sin 45⁰) The area A of the circumscribed circle: A = pir2 = [(20 cm)(sin 45⁰)]2pi ≈ 628 cm2.
What is the area of a square with a circle of a radius of 5 inches?
If the circle is inscribed in the square, the side length of the square is the same as the diameter of the circle which is twice its radius: → area_square = (2 × 5 in)² = 10² sq in = 100 sq in If the circle circumscribes the square, the diagonal of the square is the same as the diameter of the circle; Using Pythagoras the length of the side of the square can be calculated: → diagonal = 2 × 5 in = 10 in → side² + side² = diagonal² → 2 × side² = diagonal² → side² = diagonal² / 2 → side = diagonal / √2 → side = 10 in / √2 → area _square = (10 in / √2)² = 100 sq in / 2 = 50 sq in.
If you have a circle inscribed in a square what is the diameter congruent to?
The diameter of the circle equals the length of a side of the square
