This math problem is asking us to find the area of a circle when we are given its diameter. The diameter is the distance across the circle passing through its center, and in this case, it is given as 18 centimeters. The area of a circle is the measure of the region enclosed by the circle's circumference.
The area of a circle with a diameter of 18 centimeters is approximately 254.47 square centimeters.
List the formulas for calculating the area and radius of a circle.
Plug the radius of the circle into the formula.
Finally, calculate the area using the formula and express the answer in numbers.
List the formulas for calculating the area and diameter of a circle.
Plug the diameter of the circle into the formula.
Calculate step by step using the formula to find the radius and then the area.
Finally, express the answer in numbers.
List the formulas for calculating the area and circumference of a circle.
Plug the circumference of the circle into the formula.
Finally, calculate the area using the formula and express the answer in numbers.
Method 2 is the most straightforward approach since we are given the diameter directly.
Using the formula for the diameter of a circle, we find that the radius is 18/2 = 9 centimeters.
Now, we can use the formula for the area of a circle to calculate the area.
Therefore, the area of a circle with a diameter of 18 centimeters is approximately 254.47 square centimeters.
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. The distance from the center of the circle to any point on its boundary is called the radius, and the distance across the circle passing through its center is called the diameter.
To draw a circle, you will need a compass and a pencil. Follow these steps:
Place the pointed end of the compass on the paper where you want the center of the circle to be.
Adjust the other end of the compass to the desired radius length.
Keeping the compass steady, rotate it 360 degrees around the center point, making sure the pencil traces a complete circle.
Finally, you will have a perfectly drawn 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, such as calculating the circumference and area.
The symbol Π comes from the Greek word "pi" (pronounced "pee"), which is the first letter of the Greek word "periphery." The use of Π to represent the mathematical constant pi was introduced by the Welsh mathematician William Jones in 1706, and it has been widely adopted ever since.
Question: Determine the area of a circle with a diameter of 18 centimeters.
Answer: The area of a circle with a diameter of 18 centimeters is approximately 254.47 square centimeters.