## What is the area of a polar curve?

To understand the area inside of a polar curve r=f(θ), we start with the area of a slice of pie. If the slice has angle θ and radius r, then it is a fraction θ2π of the entire pie. So its area is θ2ππr2=r22θ.

## What are polar curves and what is their significance?

A polar curve is a shape constructed using the polar coordinate system. Whereas Cartesian curves are useful to describe paths in terms of horizontal and vertical distances, polar curves are more useful to describe paths which are an absolute distance from a certain point.

**How do you find the area inside a curve?**

The area under a curve between two points can be found by doing a definite integral between the two points. To find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b.

### Which region was a polar region?

polar region, area around the North Pole or the South Pole. The northern polar region consists mainly of floating and pack ice, 7–10 feet (2–3 m) thick, floating on the Arctic Ocean and surrounded by land masses.

### What is the first step toward finding the area between two curves?

First, you will take the integrals of both curves. Next, you will solve the integrals like you normally would. Finally, you will take the integral from the curve higher on the graph and subtract the integral from the lower integral.

**Who is the inventor of polar coordinates?**

In Method of Fluxions (written 1671, published 1736), Sir Isaac Newton was the first to look upon polar coordinates as a method of locating any point in the plane. Newton examined the transformations between polar coordinates and nine other coordinate systems.

#### How are polar equations used in real life?

From a physicist’s point of view, polar coordinates (randθ) are useful in calculating the equations of motion from a lot of mechanical systems. Quite often you have objects moving in circles and their dynamics can be determined using techniques called the Lagrangian and the Hamiltonian of a system.

#### What does area under curve represent?

Definition. A common use of the term “area under the curve” (AUC) is found in pharmacokinetic literature. It represents the area under the plasma concentration curve, also called the plasma concentration-time profile. The AUC is a measure of total systemic exposure to the drug.

**Why area under the curve is important?**

Originally Answered: Why is it important to know the area of a curve in integral calculus? The area under a curve will indicate a number directly related to the data. Depending on the problem you are solving, it will be a solution to a question.

## Where are polar areas located?

## Which zones are polar zones?

The polar zone encompasses the areas around the North and South Poles. Starting from the North Pole, this zone stretches to the Arctic Circle in the Northern Hemisphere, and reaches even further south in North America and Asia.