Question

Find the radius of a circle with an area of (Image: pi)(16x^(2) + 24x + 9). Use the formula A = (Image: pi)r^(2) to find the area of the circle.

Answer 1

To find the radius of a circle with a given area, we use the formula A = πr² and solve for r.

Step-by-step explanation:

To find the radius of a circle with a given area, we can use the formula A = πr². In this case, the given area is π(16x² + 24x + 9). We can set this expression equal to the formula for the area and solve for r.

πr² = π(16x² + 24x + 9)

r² = 16x² + 24x + 9

Taking the square root of both sides, we can find the value of r:

r = √(16x² + 24x + 9)