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Circles

Circles

Example 1

Give an equation for the circle with center (-14, 54) and radius 64 units.

Example 2

Give an equation for the circle with center (107, -3.78) and radius 4 units.

Example 3

Is the point (-10, 30) on the circle with equation (x + 15)2 + (y – 35)2 = 102? If not, is the point in the interior or exterior of the circle?

Example 4

Is the point (20, -12) on the circle with equation (x – 17)2 + (y + 8)2 = 25? If not, is the point in the interior or exterior of the circle?

Example 5

Given the circle with equation (x + 22)2 + (y – 56)2 = 1681, give an equation for the line tangent to the circle at the point (-13, 96).

Example 6

Given the circle with equation (x – 14)2 + (y + 3)2 = 169, give an equation for the line tangent to the circle at the point (19, 9).

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