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Finding area of a parabola

Updated: 12/6/2022
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15y ago

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This is a calculus question. You would need to use an integral.

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15y ago
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Q: Finding area of a parabola
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Purpose of finding the area of a parabola?

If you needed to calculate say, the volume of a gutter, it would be the AREA of the cross-section (parabola) multiplied by the length of the gutter.


How does finding the vertex of a parabola help you when graphing a quadratic equation?

Finding the vertex of the parabola is important because it tells you where the bottom (or the top, for a parabola that 'opens' downward), and thus where you can begin graphing.


What is the area of the inside of a parabola?

Since a parabola is an open infinite curve, the area inside it is infinite.


How do you calculate surface area of a parabola?

A parabola is a two dimensional open curve. Its area is therefore infinite.


Where is the point on the parabola for the maximum area?

at the top


What are the roots of a parabola?

I think you are talking about the x-intercepts. You can find the zeros of the equation of the parabola y=ax2 +bx+c by setting y equal to 0 and finding the corresponding x values. These will be the "roots" of the parabola.


Is the area of a circle a linear or nonlinear of its radius?

Relationship between radius and area of a circle is nonlinear. Area = pi * radius^2, so it is like a quadratic. If you graphed radius on the horizontal, and area on the vertical, it would be a parabola (actually a half of a parabola, since you cannot have a negative radius).


What are everyday uses for pi?

Some of many examples are:- Finding the circumference of a circle Finding the area of a circle Finding the surface area of a sphere Finding the volume of a sphere Finding the surface area of a cylinder Finding the volume of a cylinder Finding the volume of a cone Finding the surface area of a cone


How do you find centroid of parabola?

The centroid of a parabola is found with the equation y = h/b^2 * x^2, where the line y = h. Additionally, the area is 4bh/3.


How do you find the endpoints of a parabola when you have the function of the line?

A parabola has no endpoints: it extends to infinity.A parabola has no endpoints: it extends to infinity.A parabola has no endpoints: it extends to infinity.A parabola has no endpoints: it extends to infinity.


Is the formula for finding the area of an oval the same as the formula for finding the area of a circle?

No because the formula for finding the area of an oval, which is an ellipse, is quite different


Is a parabola the same as a parabolic curve?

No. If you tilt a parabola, you will still have a parabolic curve but it will no longer be a parabola.