![]() ![]() Method 1: Find the Radius using Circumference Here, π is a constant value of approximately 3.14159. The formula to find the radius of a circle involves the circumference or the area of the circle. In this article, we will discuss the methods and formulas used to find the radius of a circle. The radius refers to the distance from the center of the circle to any point on its circumference. ![]() It is an important parameter that helps us calculate the circumference, area, and diameter of a circle. How do you apply the Pythagorean theorem to find the radius of a circle?įinding the radius of a circle is a fundamental aspect of geometry. Are there any tricks or shortcuts for quickly finding the radius of a circle?ĥ. Is there a way to find the radius of a circle if only given its diameter?Ĥ. Can you explain how to find the radius of a circle using its circumference?ģ. What is the formula for finding the radius of a circle?Ģ. ![]() Thales theorem states that if A, B, and C are distinct points on a circle where the line AC is a diameter, then the angle ∠ABC is a right angle. Since AC is the diameter, the measure of the intercepted arc is 180 degrees-or half the total of 360 degrees in a circle.A Comprehensive Handbook for Determining the Radius of a Circle 1. He was a mentor of famed Greek mathematician Pythagoras, who developed many theorems in mathematics, including several noted in this article.) (This is called Thales theorem, which is named after an ancient Greek philosopher, Thales of Miletus. Mathbits gives this example for finding an inscribed angle:Īn angle inscribed in a semicircle is a right angle. The intercepted arc is the distance of the curve formed between the two points where the chords hit the circle. The formula for finding the inscribed angle is: So, if you have a radius of 4.5 inches:Īn inscribed angle is an angle formed by two chords in a circle which have a common endpoint. You can also calculate the area if a circle if you know the radius. So, if your diameter is 8.5 centimeters, as in the example in the previous slide, you would have:Ī = π(1/2 d)^2 (Area equals pi times one-half the diameter squared.) In this formula, "A" stands for the area, "d" represents the diameter, π is pi, or 3.14. The "*" is the symbol used for times or multiplication. In this formula, "A" stands for the area, "r" represents the radius, π is pi, or 3.14. The formulas for the area of a circle are: Think of the area of the circle as if you draw the circumference and fill in the area within the circle with paint or crayons. The area of a circle is the total area that is bounded by the circumference. Or, if you want to know the circumference of a pot that has a radius of 4.5 inches, you would have:Ĭ = 2πr C = 2 * 3.14 * (4.5 in) C = 28.26 inches, which rounds to 28 inches So if you measure the diameter of a circle to be 8.5 cm, you would have:Ĭ = πd C = 3.14 * (8.5 cm) C = 26.69 cm, which you should round up to 26.7 cm Where d is the diameter of the circle, r is its radius, and π is pi. You can calculate the circumference of any circle if you know either the radius or diameter. Pi is the fixed ratio used to calculate the circumference of the circle ![]() Pi, which is usually denoted with the Greek letter π, is the ratio of the circle's circumference to its diameter, or approximately 3.14. To measure the circumference of a circle, you need to use "Pi," a mathematical constant discovered by the Greek mathematician Archimedes. The "°" is the mathematical symbol for degrees. The circumference of a circle is the measured total length around a circle, which when measured in degrees is equal to 360°. It is denoted by C in math formulas and has units of distance, such as millimeters, centimeters, meters, or inches. The circumference of a circle is its perimeter or distance around it. ![]()
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