To understand the problem, we need to know what a circle is and what its circumference and area represent. A circle is a perfectly round shape with all points equidistant from the center. The circumference of a circle is the distance around its outer edge, while the area of a circle is the measure of the space enclosed by the circle.
The answer to the problem is the area of the circle. To calculate it, we need to use the given circumference of 94.2 meters.
Answer: The area of the circle with a circumference of 94.2 meters is approximately 282.74 square meters.
There are multiple methods to solve this problem, depending on the information given. We will discuss three methods:
List the formulas for calculating the area and radius of a circle.
Plug the radius of the circle into the formula for area.
Finally, calculate the answer by substituting the given circumference into the formula and expressing the result in numbers.
List the formulas for calculating the area and diameter of a circle.
Plug the diameter of the circle into the formula for area.
Calculate step by step, substituting the given circumference into the formula, and express the result in numbers.
List the formulas for calculating the area and circumference of a circle.
Plug the circumference of the circle into the formula for area.
Finally, calculate the answer by substituting the given circumference into the formula and expressing the result in numbers.
We will use Method 3 since the circumference is given.
List the formulas for calculating the area and circumference of a circle.
Plug the circumference of the circle into the formula for area.
Simplify the formula.
Calculate the answer using a calculator.
Therefore, the area of the circle with a circumference of 94.2 meters is approximately 282.74 square meters.
A circle is a two-dimensional geometric shape that consists of all points in a plane that are equidistant from a fixed center point. It is perfectly round and has no corners or edges.
To draw a circle, you can use a compass, which is a tool with two arms. Place the sharp end of the compass at the center point of the circle and rotate the other arm around it. This will create a perfect circle.
A circle has several important measurements:
The symbol Π (pi) represents the mathematical constant that represents the ratio of a circle's circumference to its diameter. It is an irrational number, approximately equal to 3.14159. Pi is used in many mathematical formulas involving circles and is a fundamental constant in mathematics.
The origin of the symbol Π (pi) can be traced back to the ancient Greek mathematician Archimedes. He used the Greek letter π as an abbreviation for the word "periphery" or "circumference" in his mathematical works. The symbol was later adopted by other mathematicians and became widely used to represent the mathematical constant we know today.
Question: Calculate the area of a circle with a circumference of 94.2 meters.
Answer: The area of the circle with a circumference of 94.2 meters is approximately 282.74 square meters.