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Consider a circle of radius r. You want a square inside of that circle.
The diameter of the circle is 2r and this is also the length of the diagonal of the square.
Now the Pythagorean theorem says that if the side of the square inside the circle is of length s.
2s2 =4r2
this come for a2 +b2 =c2
where a and b are s and c is 2r
so we have s2 =2r2
Then length of the side OS the square is
r(square root of 2)
or s=r(square root of 2)
What else can I help you with?
What is the square of an egg?
If you multiply an egg by an egg, you get a square egg. This is similar to the equation circle x circle = square circle
What equation can be used to find the area in square inches of a circle with a radius of 8 inches?
Area of the circle in square inches = pi*82
The equation of the inner circle is x2 plus y2 equals 4 the radius of the outer circle is four times the radius of the inner circle write the equation of the outer circle?
The inner circle is x2 + y2 = 4. The radius of the inner circle is the square root of 4, which is 2. To find the radius of the outer circle, multiply 2 times 4. The radius of the outer circle is 8. Square 8 (82 or 8 x 8) to find the number to put into the equation of the outer circle. This is 64. The equation for the outer circle is x2 + y2 = 64.
Why is it impossible to square a circle?
You have to determine the value of pi squared.
What is the center point in the following equation of the circle?
To identify the center point of a circle from its equation, you typically look for the standard form of the circle's equation, which is ((x - h)^2 + (y - k)^2 = r^2). In this format, ((h, k)) represents the center of the circle, where (h) and (k) are constants. If you provide the specific equation of the circle, I can help you determine the center point.
How do you determine the radius of a circle if you have the area?
Since the area equals pi times the square of the radius, the radius must be the square root of (the area divided by pi). I got that by dividing both sides of the equation by pi then taking the square root of both sides.
What is x square plus y square equals 36?
It is the equation of a circle with radius of 6 and its center at the origin.
What is the equation for the diamiter of a circle?
Diameter = 1/2 of the circle's radius. Diameter = 2 times the square root of (the circle's area/pi) Diameter = the circle's circumference/pi
Two of the endpoints of the diameter of a circle are at A -6 and 8 and B 6 and -8 1. determine the radius of the circle 2. state an equation of the circle I appreciate the help.?
dinosaurs
Which equation will determine the circumference of the circle with a diameter of 14cm and a radius of 7cm?
C=2 pi R
How do you figure square feet using a circumference?
Square feet are a measure of area, and the area of a circle is usually given by the equation: a = πr2 The circumference of a circle is given with the equation: c = 2πr To find the area of the circle given only it's circumference, we can rearrange the circumference equation, solving it for r, and then substituting it into our radius equation in place of r. c = 2πr r = c / 2π a = πr2 a = π(c / 2π)2 a = πc2 / 4π2 a = c2/π So the area of a circle is equal to the square of it's circumference divided by pi.
Determine the square feet in a circle?
The formula for the area of a circle is pi x radius x radius or pi(r2).
