Geometry Circles: Tangents and Angles

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12 Questions

In the circle, if $AB = 24$ and $BC = 16$, what is the length of $AC$?

12

If $m∠BDE = 72°$, what is the measure of $∠F AD$?

80°

In the circle, if $m∠DAC = 22°$, what is the value of $x$?

58°

If $BF = 3$, $CD = 10$, and $DE = 10$, what is the length of $FE$?

7.2

What is the center of the circle given by the equation $(x − 3)^2 + (y + 5)^2 = 25$?

(3, -5)

If $m∠DAB = 82°$, what is the value of $m∠EF D$?

52°

What is the radius of the circle with equation x2 + y2 + 2x − 8y + 12 = 0?

√12

What is the center of the circle with equation x2 + y2 + 2x − 8y + 12 = 0?

(-1, 4)

What is the equation of a line with a slope of 2 and a y-intercept of 3?

y = 2x + 3

Which of the following is an equation of a line that is tangent to the circle with equation x2 + y2 + 2x − 8y + 12 = 0?

y = 2x + 3

What is the equation of the circle with center (3, 5) and radius 10?

(x - 3)^2 + (y - 5)^2 = 100

What is the equation of the circle with center (-3, 5) and radius 50?

(x + 3)^2 + (y - 5)^2 = 2500

Solve a geometry problem involving tangents and angles in a circle. Find the length of line segments and angles given specific points and measurements. Practice your geometry skills with this challenging problem.

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