GMAT Quantitative Reasoning - Circles

1

What is the equation of a given circle on the coordinate plane?

Statement 1: Its center is at the origin.

Statement 2: One of its diameters has endpoints and .

2

What is the equation of a given circle on the coordinate plane?

Statement 1: Its center is at the origin.

Statement 2: One of its diameters has endpoints and .

3

Write the equation for circle , a circle in the standard x-y plane.

I) is centered at .

II) The line is tangent to the circle at the point .

4

Write the equation for circle , a circle in the standard x-y plane.

I) is centered at .

II) The line is tangent to the circle at the point .

5

What is the area of the circle $(x+5)^{2}+(y-2)^{2}=32?$

6

Find the equation of Circle X.

I) The x-coordinate of Circle X's center is twice the y-coordinate of Circle X's center.

II) Circle X has a radius of 16 units.

7

Find the equation of Circle X.

I) The x-coordinate of Circle X's center is twice the y-coordinate of Circle X's center.

II) Circle X has a radius of 16 units.

8

What is the area of the circle $(x+5)^{2}+(y-2)^{2}=32?$

9

Consider Circle L.

I) The radius of Circle L is twice the value of the third prime number when counting the prime numbers and increasing after zero.

II) The x-coordinate of Circle L is four times the y-coordinate of L. The y-coordinate is equal to the radius.

Find the equation of Circle L.

10

Consider Circle L.

I) The radius of Circle L is twice the value of the third prime number when counting the prime numbers and increasing after zero.

II) The x-coordinate of Circle L is four times the y-coordinate of L. The y-coordinate is equal to the radius.

Find the equation of Circle L.

Circles