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How To find the standard equation for a circle centered at the origin we use the distance formula since the radius measures?
To find the standard equation for a circle centered at the origin, we use the distance formula to define the radius. The equation is derived from the relationship that the distance from any point ((x, y)) on the circle to the center ((0, 0)) is equal to the radius (r). Thus, the standard equation of the circle is given by (x^2 + y^2 = r^2). Here, (r) is the radius of the circle.
What is the equation for the radius of a circle?
The radius of a circle = the diameter of the circle divided by 2
How does the area of a circle derived?
Area of a circle in square units = pi*radius2
What is a solution of an eqaution derived from an original equation that is not a solution of the original equation?
Extraneous solution
The equation of the inner circle is x2 plus y2 equals 9 The radius of the outer circle is twice the radius of the inner circle What is the equation of the outer circle?
x^2+y^2=36
What is the equation for calculating the area of a circle?
The equation for calculating the area of a circle is A r2, where A represents the area and r is the radius of the circle.
What are two examples of a derived quantity?
Force, which is derived from mass and acceleration through the equation F = ma. Energy, which is derived from force and distance through the equation E = Fd.
How is the catenary equation derived?
The catenary equation is derived using calculus and the principle of equilibrium in a hanging chain. By analyzing the forces acting on small segments of the chain, the equation can be derived to describe the shape of the curve formed by a hanging chain or cable.
What is the equation for the radius of a circle?
The radius of a circle = the diameter of the circle divided by 2
If a circle is centered at the origin and the length of its radius is 6 What is the circle's equation?
The general equation of a circle is given by the formula(x - h)2 + (x - k)2 = r2, where (h, k) is the center of the circle, and r its radius.Since the center of the circle is (0, 0), the equation reduces tox2 + y2 = r2So that the equation of our circle is x2 + y2 = 36.
Is the equation for a circle a function?
The equation for a circle is a function in that it can be graphed and charted. One common equation is x^2 + y^2 = r^2.
When you make the circle smaller which number in the standard equation for a circle centered at the origin decreases?
The radius of the circle decreases when you make the circle smaller.
How does the area of a circle derived?
Area of a circle in square units = pi*radius2
What is the exact radius of a circle with the circumference of thrity six meters?
My understanding is that as the measurement of the circumference of a circle is derived from an equation using "pi" with pi being an indefinite number, the measurement of the circumference of a circle is also an indefinite number, but the figure can be rounded back to a predetermined number of decimal places.
What is the equation for a circle with a center of (0 0) and a radius of 9?
The equation of the circle is: x^2 + y^2 = 81
What is a solution of an eqaution derived from an original equation that is not a solution of the original equation?
Extraneous solution
The equation of the inner circle is x2 plus y2 equals 9 The radius of the outer circle is twice the radius of the inner circle What is the equation of the outer circle?
x^2+y^2=36
