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 14 inches. 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 14 inches is approximately 153.94 square inches.
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:
Finally, calculate the area using the formula:
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. One arm has a sharp point, and the other arm has a pencil or pen attached to it. Place the sharp point at the center of the circle and rotate the compass around it, keeping the pencil or pen pressed against the paper. This will create a perfect circle.
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 and is a fundamental constant in mathematics.
The origin of the symbol Π (pi) can be traced back to ancient Greece. The Greek mathematician Archimedes is often credited with the first accurate calculation of pi. The symbol Π was later introduced by the Welsh mathematician William Jones in 1706, who used it to represent the ratio of a circle's circumference to its diameter.
Question: Determine the area of a circle with a diameter of 14 inches.
Answer: The area of a circle with a diameter of 14 inches is approximately 153.94 square inches.