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)
If you multiply an egg by an egg, you get a square egg. This is similar to the equation circle x circle = square circle
Area of the circle in square inches = pi*82
You have to determine the value of pi squared.
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.
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.
It is the equation of a circle with radius of 6 and its center at the origin.
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
dinosaurs
C=2 pi R
The formula for the area of a circle is pi x radius x radius or pi(r2).
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.
Measure its radius in feet or derive it from the diameter or circumference. A circle with radius r feet has an area of pi*r^2 square feet.