8. Conic Sections

Circles

Join thousands of students who trust us to help them ace their exams!Watch the first video

Multiple Choice

Find the equation for the following circle:

$x^2+y^2=4$

$\left(x+1\right)^2+y^2=4$

$\left(x-1\right)^2+y^2=4$

$\left(x+1\right)^2+y^2=16$

Verified step by step guidance

Identify the center of the circle from the graph. The center is at (-1, 0).

Determine the radius of the circle by measuring the distance from the center to any point on the circle. The radius is 4 units.

Recall the standard form of a circle's equation: (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.

Substitute the center (-1, 0) and the radius 4 into the standard form equation: (x + 1)^2 + (y - 0)^2 = 4^2.

Simplify the equation to get the final form: (x + 1)^2 + y^2 = 16.

Master Circles in Standard Form with a bite sized video explanation from Patrick

Problem sets built by lead tutors

Expert video explanations