When we are asked to find the area of a circle with a radius of 6.8 units, we are being asked to determine the amount of space enclosed within the circle. The radius is the distance from the center of the circle to any point on its circumference, and in this case, it is given as 6.8 units.
The answer to this problem is the area of the circle, which can be calculated using the formula A = πr^2, where A represents the area and r represents the radius. Plugging in the given radius of 6.8 units, we can calculate the area as follows:
A = π(6.8)^2 A ≈ 145.27 square units
Therefore, the area of the circle with a radius of 6.8 units is approximately 145.27 square units.
There are multiple methods to solve this problem, depending on the information given. Here are three common 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, expressed 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 to find 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 for area.
Finally, calculate the answer, expressed in numbers.
Using Method 1, we can solve this problem step by step:
List the formulas for calculating the area and radius of a circle.
Plug the radius of the circle into the formula for area.
Calculate the answer, expressed in numbers.
Therefore, the area of the circle with a radius of 6.8 units is approximately 145.27 square units.
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 circumference 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:
A circle has several important measurements:
The symbol Π (pi) represents the mathematical constant that represents the ratio of the circumference of any circle to its diameter. It is an irrational number, approximately equal to 3.14159, but it can be approximated as 3.14 for most calculations.
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: Find the area of a circle with a radius of 6.8 units.
Answer: The area of a circle with a radius of 6.8 units is approximately 145.27 square units.