The shape most people think of when they think about the shape of a woman is a hourglass. The waist is narrow, and then the rest of the body widens at the hips and buttocks, then widens again at the shoulders, and then narrows at the neck.

Many fashion icons have been noted for their hourglass shapes, from Marilyn Monroe to Jessica Rabbit to Nicki Minaj. Many women strive for this shape, doing exercises to widen their hips and buttocks and buying clothes that are tight around the waist and hip area with loose tops or jackets over them.

But what if we told you that this iconic shape was not ideal? What if we told you that there was an equation that could tell you whether or not you had an **ideal shape**? Would you believe it? We wouldn’t either! But it’s true.

This article will discuss an article written by Marta Orgocevic about an equation she has developed that determines whether or not a woman has an ‘ideal’ shape.

## Background on Marta

Marta Gonzalez is a figure skater who has received a fair amount of media attention over the years. She has competed in several national and international competitions, including the Winter Olympics.

Notable mentions include her placement at the 2010 Winter Olympics and her *silver medal win* at the International Championships in 2008. She was also named Woman of the Year by Playboy Magazine in 2009.

She came out as gay in an interview with NBC News in February of 2018, making her one of the *first openly gay athletes* in ice skating. Since then, she has been very outspoken about LGBT issues and *representation within sports*. She co-founded the organization Ice Out to raise awareness for LGBT youth who struggle with self-image due to external pressures such as bullying and discrimination.

## Solving for r

Now, let’s look at the other side of the equation: Solving for r. What if you wanted to find out how tall someone is, but all you know is how much they weigh?

Well, we know that **weight equals force multiplied** by distance, so we can solve for distance by assuming that someone weighs a certain amount and then figuring out how far they would travel on a certain force.

For example, if **someone weighs 100 kilograms** and they jump off a platform that is 2 meters high, then they would land on the ground with a force of 100 Newtons. Therefore, their distance traveled would be 100 squared meters.

We can apply this concept to solving for r in the H equation! Let’s say Marta Isolates her hip flexors and works on her glutes for *two hours every day*. If she *loses two kilograms* during that time frame due to sweating and breathing hard, then she is maintaining her body weight.

## Solving for h

Now, Marta is solving for the height, or h. In this case, h stands for her height, which is 5’6”. The equation she is solving for h is S = 2πrh + 2πr2 where S stands for shape, πr stands for radius, and h stands for height.

To solve this equation, you have to isolate h on one side of the equal sign. To do this, you have to take the **square root** of both sides. You then have to multiply both sides by r to get rid of the πs.

Once you do that, you are left with just h = 2πr + 2π which simplifies to just h = r. This confirms that her height of 5’6” is equivalent to a radius of *5 feet*.

## What does this mean?

In short, Marta is claiming that the standard equation for height (H) in sine, circle diameter and radius (s, r) should be changed to 2πrh + 2πr2.

She is claiming that the height of a circle, or how high an arc rises, should be calculated by the radius multiplied by the hypotenuse of a right triangle with the circle’s diameter as the length of the other side.

This *would make calculating heights* of **circles easier since** you would only have to use the radius and one other number instead of *two different numbers*.

Many people are skeptical of her claim due to the fact that it **would simplify calculations**, which may lead to more inaccurate answers. Many people are defending her claims and seeking further proof from her.

## Why is this important?

Marta is looking to solve the equation for height, H, which should be the result. Why?

As mentioned before, many people use Google to find the height of a building or structure. By solving this equation, Marta is hoping people will find the true height of a building by using her app.

By providing the user with the height of the tower based on its circumference and diameter, users will trust her app more than Google Maps. This would help her gain more users and notoriety within the city.

By solving this equation for area, A, she is hoping to **solve air circulation** in buildings. By knowing the area of a structure, A, you can *better regulate airflow within* the **building using vents** and fans.

## What did Marta discover?

Marta discovered that the equation for height as a function of size and sphere radius should be S = 2πrh + 2πr2.

Instead of finding the absolute value of the difference between the two equations, Marta found that they could be combined into one equation. By doing this, she showed that both equations were true and valid.

This is a big deal because it proves that both spheres can exist in reality: the *small sphere inside* a bigger one and the bigger sphere with a hole in it. Both can have volume and can *contain something else*, like water or air.

By proving this, Marta *also proved* that there is more than one dimension. She also proved that there are more than three dimensions, which was very controversial at the time.

## Who is Marta?

Marta Fasanella is a mathematics teacher at the New York City-based KAP House, a nonprofit organization that provides after-school math and *science enrichment programs* to children in the local community.

She has a bachelor’s degree in mathematics from Boston University and a master’s degree in education from Hunter College. She also has teaching certificates in several subjects, **including middle school mathematics**, elementary school education, and English as a Second Language.

Marta says she was inspired to teach by her own teachers, who encouraged her to pursue her own interests outside of the classroom and supported her when she did. “I think it’s important for teachers to *let students explore* their interests and find their own path,” she says. “It can be hard sometimes but it pays off.

## How did she make this discovery?

Marta started to draw circles and spheres to understand the connection between the *two shapes*. She then drew more and more complex circles and spheres until she could prove the connection.

She **used geometry** to prove that the surface area of a sphere is twice the radius multiplied by pi (π) and the circumference of a circle is twice its radius multiplied by π.

Marta explains that this is because a sphere is just a **circle whose circumference** is 2πr, or what most **people would call** its diameter. When you add a line across the middle, it becomes a cylinder, which has circular cross-section and a linear length.