To determine the radius of a circle given its area, we can use the formula for the area of a circle:
A = πr²
where A is the area and r is the radius. We are given that the area A is 154 cm². To find the radius, we need to rearrange the formula to solve for r:
r² = A / π
Next, substitute the area into the equation:
r² = 154 cm² / π
Now, using the approximate value of π (around 3.14):
r² ≈ 154 cm² / 3.14
Calculating this gives:
r² ≈ 49.04 cm²
To find the radius, take the square root of both sides:
r ≈ √49.04 cm²
This results in:
r ≈ 7 cm
Therefore, the radius of the circle with an area of 154 cm² is approximately 7 cm.