Drawing a circle is a pretty hard task. Luckily, there are computer programs that can trace circles. Even more luckily, we can use those computer traced circles as the basis for our own circle drawings!
Many artists use software such as ProTool7 to trace circles for their art. These artists may then modify the circle or draw additional elements on top of the circle to create a new artwork. Some even use the circles as part of their artwork, like Zaria Pugh does with her watercolor paintings.
Using software to trace a circle is an easy way to gain some artistic skills. Try it out and see what you get!
When drawing your own circle, make sure you know what size pencil to use and how to measure distance accurately. Otherwise, your drawing may look distorted or lopsided.
Calculate the diameter
First, calculate the diameter, which is the distance across a circle at its widest point. To do this, divide the circle’s radius by 2.
In this case, the radius is 14 meters, so divide that by 2 to find the diameter of 7 meters.
It can be tricky to draw a circle with a diameter of 7 meters, but you can do it! Just draw a square with sides of 7 meters and then connect the opposite corners with a line.
You have drawn a rectangle, and now you just need to roll up the edges to make them curve up slightly.
Calculate the circle’s area
Now that you can calculate the diameter and circumference of a circle, you can use those calculations to find the area of a circle.
The area of a circle is calculated by dividing the circumference of the circle by twice the radius. The radius is half of the diameter, so you can use that value to find the area instead.
Area = Circumference ÷ 2 × Radius
So, how many square meters is Fiona’s circle? Let’s find out! We will need to use some other math functions to do this, but we’ve got you covered.
First, we will need to calculate the circumference of Fiona’s circle using our equation: Circumference = 2 × Radius × Pi. Now, we will need to calculate the radius using our equation: Radius = 2 × Diameter ÷ Circumference. Finally, we will need to calculate the diameter using our equation: Diameter = 2 × Radius ÷ Circumference.
Divide the circle into segments
Now, let’s get into the nitty-gritty of how to find the area of a circle. First, you have to divide the circle into segments.
You do this by drawing a line from one point on the circle’s edge to another point on the circle’s edge. There can be as many of these lines as you want, but you have to keep in mind that each one will decrease the area of the circle by half.
So, if you had ten lines across a ten-inch diameter circle, then there would be five inches per side, which is half an inch less than the entire diameter.
Calculate the area of each segment
Now that you have the length of each segment, you can calculate the area of each segment. To do this, you need to know the formula for area of a rectangle.
Area of a rectangle = length x width
You already have the length in the problem (7 meters), so all you need to do is find the width. By dividing the diameter by 2, you get the width.
Area of a circle = π × r2
You already have the radius in the problem (7 meters), so all you need to do is find the area. By multiplying pi by 7², you get 42, or 14 squared meters.
Add up all of the areas of all of the segments
So now that you know the diameter of the circle, you can find the area of the circle! How? By calculating the total area of all of the triangles that make up the circle.
Each triangle has two sides (the radius) and a vertex (the point at the center of the circle). You can calculate the length of each side using calculus, but it’s much easier to just use geometry.
Just add up all of these triangles and you’ll get the area of the entire circle. It’s that easy! Some people may ask you to find the length of one side and then multiply that by two to get the radius, but it’s much easier to just find one side and then double it.
If you have trouble finding one side, try drawing a square on top of your circle and divide it into four equal parts to find its width. Then, double that number to get its diameter.
Multiply by pi to get the final answer
Now that you can correctly calculate the area of a circle, you can finally answer the question of how much pizza Fiona can eat.
First, calculate the diameter of Fiona’s pizza using the formula for circle diameter. Then, calculate the area of her pizza using the formula for circle area.
To get the amount of cheese on her pizza, you need to multiply the area of her pizza by one third of a kilogram per square meter. One kilogram is almost two pounds!
To get the amount of pepperoni on her pizza, you need to multiply the area of her pizza by one tenth of a kilogram per square meter. One kilogram is almost two pounds!
To get the amount of mushrooms on her pizza, you need to multiply the area of her pizza by one hundredth of a square meter. One hundredth is just a little bit smaller than one tenth.
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