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 16 inches.
The area of a circle with a diameter of 16 inches is approximately 201.06 square inches.
List the formulas for calculating the area and radius of a circle:
Plug the radius of the circle into the formula:
Calculate the area using the formula:
Finally, get the answer, expressed in numbers.
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:
Calculate the area using the formula:
Finally, get the answer, expressed in numbers.
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:
Calculate the area using the formula:
Finally, get the answer, expressed in numbers.
Calculate the radius using the formula:
Calculate the area using the formula:
Substitute the value of π (pi) as approximately 3.14159:
Calculate the square of 8:
Multiply π by 64:
Therefore, the area of a circle with a diameter of 16 inches is approximately 201.06 square inches.
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 end around it. 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.
The origin of the symbol Π (pi) can be traced back to ancient Greek mathematicians. It was first introduced by the mathematician William Jones in 1706 and later popularized by the Swiss mathematician Leonhard Euler in the 18th century.
Question: Determine the area of a circle with a diameter of 16 inches.
Answer: The area of a circle with a diameter of 16 inches is approximately 201.06 square inches.