This math problem is asking us to find the area of a circle when the diameter is given. The diameter is the distance across the circle passing through the center. In this case, the diameter is 34 centimeters.
The area of a circle with a diameter of 34 centimeters is approximately 907.92 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:
List the formulas for calculating the area and diameter of a circle:
Plug the diameter of the circle into the formula:
Calculate the radius using the formula:
Finally, calculate the area using the formula:
List the formulas for calculating the area and circumference of a circle:
Plug the circumference of the circle into the formula:
Calculate the radius using the formula:
Finally, calculate the area using the formula:
A circle is a two-dimensional geometric shape that is perfectly round. It is defined as the set of all points in a plane that are equidistant from a fixed center point. The distance from the center to any point on the circle is called the radius, and the distance across the circle passing through the center is called the diameter.
To draw a circle, you will need a compass and a pencil. Follow these steps:
A circle has several important measurements:
The symbol Π (pi) represents the mathematical constant that is 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, including the formulas for calculating the area and circumference.
The symbol Π (pi) has its origin in ancient Greek mathematics. It was first introduced by the Greek mathematician Archimedes and later popularized by the Swiss mathematician Leonhard Euler. The symbol Π comes from the Greek word "perimetros," meaning circumference.
Question: Determine the area of a circle with a diameter of 34 centimeters.
Answer: The area of a circle with a diameter of 34 centimeters is approximately 907.92 square centimeters.