Final answer:
The radius of a circle with an area of 19 m² is approximately 2.46 meters, calculated using the area formula for a circle and taking the square root of the result rounded to two decimal places.
Step-by-step explanation:
To calculate the radius of a circle with an area of 19 m², we can use the formula for the area of a circle, which is A = πr². Substituting the given area we have 19 = πr². To solve for the radius, r, we first divide both sides by π:
r² = 19 ÷ π
Using the value of π as approximately 3.14159, we carry out the division to get:
r² = 19 ÷ 3.14159
r² ≈ 6.0455
Then we take the square root of both sides to find the radius:
r ≈ √6.0455
r ≈ 2.46 m
Therefore, the radius of a circle with an area of 19 m², rounded to two decimals, is approximately 2.46 meters.