Final answer:
The diameter of the circle described by the equation (x+7)^2 + y^2 = 16 is 8 units, as the radius is 4 units and diameter is twice the radius. The formula for the area A as a function of the diameter d of a circle is given by A = π (d/2)^2. A = π (32/2)^2 = π (16)^2 = 256 π = 804.25 square meters.
Step-by-step explanation:
The question asks about the diameter of a circle with the equation (x+7)^2 + y^2 = 16. This is the standard form of the equation for a circle with the center at (-7, 0) and a radius r. To find the radius, we look at the constant term on the right side of the equation, which represents the square of the radius r^2. Therefore, r^2 = 16, and we can solve for r by taking the square root of both sides. The radius r is 4 units. The diameter of the circle, which is twice the radius, would thus be 2r, or 8 units.
A diameter is a line segment that passes through the center and its endpoints are on the circumference of a circle. In other words, the longest chord of a circle is called the diameter. The distance from the center to any point on the circle is called the radius of the circle with two radii that form the diameter. This shows us that the diameter of a circle is twice the length of its radius.
The diameter of a circle is a line that passes through the center and meets the circumference at opposite ends. It is twice as long as the radius of the circle. In other words, the diameter of a circle is the line that passes through the center and divides the circle into two equal parts. Let us learn more about the diameter definition, the diameter formula, and learn how to find the diameter of a circle in this article.