X 2 + y 2 - 3x - 5y + 2.25 + 6.25 - 2.49987721 = 0Ĭombining our constants, we have our general form of a circle equation below: x 2 + y 2 - 3x - 5y + 6. Circle Equation Calculator: This calculates the equation of a circle from the following given items: A center (h,k) and a radius r A diameter A(a 1 ,a 2 ). Plugging in our values for h,k, and r, we get:Expanding the standard form, we get the general form of x 2 + y 2 - 2( 1.5)x - 2( 2.5)y + 1.5 2 + 2.5 2 - 1.5811 2 = 0 Plugging in our numbers, we get:(x - 1.5) 2 + (y - 2.5) 2 = 1.5811 2ĭetermine the general form of the circle equation given center ( h, k) = ( 1.5, 2.5) and radius r = 1.5811:Expanding the standard form, we get the general form of x 2 + y 2 - 2 hx - 2 ky + h 2 + k 2 - r 2 = 0 The standard equation for a circle is (x - h) 2 + (y - k) 2 = r 2 Now calculate our circle equation using ( h, k), and rFind the equation of the circle with center ( h, k) = ( 1.5, 2.5) and radius r = 1.5811 You may not need the formula every day of your life, but we wouldn't have all the modern conveniences we enjoy today without it.Find the equation of a circle that has a diameter with the endpoints given by the points A(1,1) and B(2,4)įrom above, the center of our circle is ( h, k) = ( 1.5, 2.5)Ĭalculate radius: r = Square Root((x 2 - x 1) 2 + (y 2 - y 1) 2) So that's why we learn to measure a circle's area. The importance of the circle has more than proven itself in various applications over time. Without the scientific formulas used to determine such properties, it would be impossible to create many of those with safety and precision. Engineers use a circle's symmetrical properties to design rockets, athletic tracks, Ferris wheels, bicycles, and more. When Mars seemed to suddenly reverse its course, Kepler calculated circle areas to create just the right miniature circles, also known as epicycles, to predict planetary paths.įast forward a few hundred years. In the 16th century, German mathematician Johannes Kepler measured the areas of planetary orbits as they rounded the sun.
Circle calculator how to#
If you wonder why you have to learn how to calculate the area of a circle, let's start with history. You'll need to provide the circumference. However, the majority of us stop at 3.1416, or even better, 3.14. Pi is an irrational number that has infinite values. But one thing always remains the same: pi. The formula you use will, therefore, change according to those values. When solving for a circle's area, you'll end up working with different values depending on what the math problem is asking you.
Circle calculator free#
Our free online Circle Area Calculator has the following parts: It's easy as pi! How to Use the Circle Area Calculator There is a formula for manually calculating the area of a circle, but you can use our free online Circle Area Calculator if you need a quick answer or to double-check your work. The space it occupies is called its area. In math, it is defined as a round figure that comes with no corners or edges.
A circle is one of the first few shapes we learn as a child.
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