the area of a circle is six hundred and eighty nine square units what is the radius?

To find the radius of a circle given its area, we can use the formula:

Area of a circle = π * radius^2

Given that the area is 689 square units, we can rewrite the formula as:

689 = π * radius^2

Let's solve for the radius:

Dividing both sides of the equation by π, we get:

689 / π = radius^2

Taking the square root of both sides, we have:

sqrt(689 / π) = radius

Using a calculator, we can evaluate this to get:

radius ≈ 14.0618

Therefore, the radius of the circle is approximately 14.0618 units.