How do you write the equation of a circle given its center and radius?

If the center is (h, k) and the radius is r, the equation is $$(x - h)^2 + (y - k)^2 = r^2$$ .

What does the equation $$(x - 4)^2 + (y - 3)^2 = 25$$ represent?

This represents a circle with center (4, 3) and radius 5.

What is the significance of the number on the right side of the equation of a circle?

The number on the right side of the equation $$(x - h)^2 + (y - k)^2 = r^2$$ represents the square of the radius.

How can you identify the radius from the equation $$(x + 2)^2 + (y - 3)^2 = 4$$ ?

The radius is the square root of 4, which is 2.

What is the formula for the circumference of a circle?

The circumference C of a circle is given by the formula $$C = 2\text{π}r$$ .

How do you find the distance between the center and a point on the circle?

Use the distance formula: $$d = \text{sqrt}((x_2 - x_1)^2 + (y_2 - y_1)^2)$$ .

What is the equation of a circle with center (7, 0) and radius 5?

The equation is $$(x - 7)^2 + y^2 = 25$$ .

How do you graph the equation of a circle?

Identify the center (h, k) and radius r, then plot the center and draw a circle with radius r around it.

Equation of a Circle

Flashcard

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSG.GPE.A.1, 7.G.B.4

Standards-aligned

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15 questions

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FLASHCARD QUESTION

Front

What is the standard form of the equation of a circle?

Back

Tags

CCSS.HSG.GPE.A.1

FLASHCARD QUESTION

Front

How do you find the radius of a circle from its equation?

Back

Tags

CCSS.HSG.GPE.A.1

FLASHCARD QUESTION

Front

What is the diameter of a circle?

Back

Tags

CCSS.7.G.B.4

FLASHCARD QUESTION

Front

What is a chord in a circle?

Back

A chord is a line segment whose endpoints lie on the circle.

FLASHCARD QUESTION

Front

What is a tangent to a circle?

Back

A tangent is a line that touches the circle at exactly one point.

FLASHCARD QUESTION

Front

How do you determine the center of a circle from its equation?

Back

Tags

CCSS.HSG.GPE.A.1

FLASHCARD QUESTION

Front

What is the relationship between the radius and the area of a circle?

Back

Tags

CCSS.7.G.B.4

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