The area of a circle with radius r is calculated using the formula below.
A=π r^2We know that the area of the circle is 676 π cm^2. By substituting 676 π for A in the formula, we can calculate r.
The radius of the circle is a measurement and therefore cannot be negative, so we will only use the positive result. Thus the radius of the circle is 26 cm. We know that the diameter of a circle is exactly twice as long as its radius. With that information we can calculate the diameter.
D = 2r
D = 2(26)
D = 52
The diameter of the circle is 52 cm.
