The area of a circle is (pi)(r^2). Set this equal to 64 and solve for the radius. r = sqrt(64/pi)
Solve the equation for the area of the circle (area = pi x radius2) for radius. Multiply the radius by 2 to obtain the diameter.
-- Take the formula for the area of the circle in terms of the radius . . . A = (pi) R2-- Solve that formula for 'R'. You'll then have a formula for the radius in terms of the area,which is exactly what you're looking for.
You can certainly express the radius as a function of its area, yes. If the area is known, you can solve the formula for the area of the circle to uniquely get the radius. (The quadratic equation has two solutions; you will of course choose the positive solution for the radius.)
Pi can be used to solve many different things, such as the circumference, radius, diameter, or area of a circle, and the volume of a sphere.
You cannot SOLVE a circle. You can find the radius of a circle, or its diameter, or circumference or area. Or you can find the equation of a circle in the Cartesian system or in polar coordinates. Or find other characteristics of the circle. In any case, a circle cannot have an area of 24 centemeter. Apart from the fact that there is no such word - try centimetre (or centimeter). A centimetre is a measure of length, not area.
You use the information you're given, along with the facts and formulas you know about the geometry of a circle.
Use the formula for the area of a circle: area = pi x radius2 Replace the data you know (in this case the area), and solve for the unknown (in this case the radius).
The area of a circle is (pi)(r^2). Set this equal to 64 and solve for the radius. r = sqrt(64/pi)
Solve the equation for the area of the circle (area = pi x radius2) for radius. Multiply the radius by 2 to obtain the diameter.
You know: Area = (pi)r2 So, plug in your known values for the area and pi, then solve for r.
-- Take the formula for the area of the circle in terms of the radius . . . A = (pi) R2-- Solve that formula for 'R'. You'll then have a formula for the radius in terms of the area,which is exactly what you're looking for.
To find the area, the formula is: pi*r2.Plug in the information: pi*(4)2.Solve: pi*16
You can certainly express the radius as a function of its area, yes. If the area is known, you can solve the formula for the area of the circle to uniquely get the radius. (The quadratic equation has two solutions; you will of course choose the positive solution for the radius.)
Area of a circle = (pi) (radius)2 Radius = 1/2 (diameter) = 12. Area = (pi) (12)2 = 144 pi = 452.389 square units (rounded)
The formula for finding the area of any circle is pi*radius2..
Use the formula for the circle: area = pi x radius squared. Replace the area, and solve for the radius. Multiply the radius by 2 to get the diameter.