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Circles

Circles

Example 1

Give an equation for the circle with center (6, 8) and radius 12 units.

Example 2

Give an equation for the circle with center (-3, -25) and radius 169 units.

Example 3

Give an equation for the circle with center (-22.3, 7.95) and radius 4.4 units.

Example 4

What are the center and radius of the circle with equation (x – 13)2 + (y + 45)2 = 81?

Example 5

What are the center and radius of the circle with equation (x + 78)2 + (y + 13)2 = 2?

Example 6

What are the center and radius of the circle with equation (x + 6)2 + (y – 4.3)2 = 169?

Example 7

Given the circle with equation (x – 21)2 + (y + 18)2 = 36, is the point (24, -12) in the exterior of the circle, in the interior of the circle, or on the circle?

Example 8

Given the circle with equation (x + 4)2 + (y – 58)2 = 100, is the point (-14, 60) in the exterior of the circle, in the interior of the circle, or on the circle?

Example 9

Given the circle with equation (x – 9)2 + (y – 3)2 = 152 , is the point (6, 5) in the exterior of the circle, in the interior of the circle, or on the circle?

Example 10

Given the circle with equation (x – 101)2 + (y – 45)2 = 612 , is the point (90, 105) in the exterior of the circle, in the interior of the circle, or on the circle?

Example 11

Find an equation for the line that is tangent to the circle with equation (x – 15)2 + (y + 22)2 = 172 at the point (23, -7).

Example 12

Find an equation for the line that is tangent to the circle with equation (x + 2)2 + (y + 40)2 = 372 at the point (10, -5).

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