Final answer:
To find the radius of a circle given the area, you can rearrange the formula A = πr² and solve for r.
Step-by-step explanation:
To find the radius of a circle given its area, we can rearrange the formula for the area of a circle: A = πr². In this case, the area is given as 1 dm². We can plug this value into the formula and solve for the radius:
A = πr²
1 dm² = πr²
Dividing both sides by π, we get:
r² = 1 dm²/π
Taking the square root of both sides, we get:
r = √(1 dm²/π)
Calculating this, we find that the radius of the circle is approximately 0.564 dm.