Writing a standard form equation for a circle

A circle's equation can have either a general or standard form. If you have either the circle's center coordinates and radius length or its equation in the general form, you have the necessary tools to write the circle's equation in its standard form, simplifying any later graphing.

Writing a standard form equation for a circle

The Verb Recognize a verb when you see one. Verbs are a necessary component of all sentences. Verbs have two important functions: Some verbs put stalled subjects into motion while other verbs help to clarify the subjects in meaningful ways. Look at the examples below: My grumpy old English teacher smiled at the plate of cold meatloaf.

The daredevil cockroach splashed into Sara's soup. Theo's overworked computer exploded in a spray of sparks. The curious toddler popped a grasshopper into her mouth. The important thing to remember is that every subject in a sentence must have a verb. Otherwise, you will have written a fragmenta major writing error.

Consider word function when you are looking for a verb. Many words in English have more than one function. Sometimes a word is a nounsometimes a verb, sometimes a modifier.

writing a standard form equation for a circle

As a result, you must often analyze the job a word is doing in the sentence. Look at these two examples: Potato chips crunch too loudly to eat during an exam.

The crunch of the potato chips drew the angry glance of Professor Orsini to our corner of the room. Crunch is something that we can do. We can crunch cockroaches under our shoes. We can crunch popcorn during a movie. We can crunch numbers for a math class.

In the first sentence, then, crunch is what the potato chips do, so we can call it a verb.

writing a standard form equation for a circle

Even though crunch is often a verb, it can also be a noun. The crunch of the potato chips, for example, is a thing, a sound that we can hear. You therefore need to analyze the function that a word provides in a sentence before you determine what grammatical name to give that word.

Know an action verb when you see one. What are these words doing? They are expressing action, something that a person, animal, force of nature, or thing can do. As a result, words like these are called action verbs.

Clyde sneezes with the force of a tornado. Sneezing is something that Clyde can do. Because of the spoiled mayonnaise, Ricky vomited potato salad all day. Vomiting is something that Ricky can do—although he might not enjoy it.

Sylvia always winks at cute guys driving hot cars. Winking is something that Sylvia can do. The telephone rang with shrill, annoying cries.A circle's equation can have either a general or standard form. In its general form, ax2 + by2 + cx + dy + e = 0, the circle's equation is more suitable for further calculations, while in its standard form, (x - h)^2 + (y - k)^2 = r^2, the equation contains easily identifiable graphing points like its center and radius.

Circle equation calculator This calculator can find the center and radius of a circle given its equation in standard or general form.

Also, it can find equation of a circle given its center and radius. When the equation of a circle appears in the standard form, it provides you with all you need to know about the circle: its center and radius. With these two bits of information, you can sketch the graph of the circle.

@Aditya: Thanks! Yes, it took me a while to really see the equation, there may be a nicer way to go back and streamline how it was presented — I’d like to avoid the need for people to have multiple readings:).

How do I use completing the square to rewrite the equation of an ellipse in standard form? What do #a# and #b# represent in the standard form of the equation for an ellipse? See all questions in Standard Form of the Equation. Evaluate the circle equation %28x - 2%29%5E2%2B%28y%2B5%29%5E2%3D81 = 0 To see the diameter, circumference, and area of this circle, visit our calculator.

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