Free Digital SAT Circles Practice Problems with Video Explanations

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1. In the $xy$ -plane, the equation of a circle is $(x+3)^2+(y-5)^2=64$ . What is the diameter of the circle?

A) 8

B) 16

C) 32

D) 64

Question 1 of 3

2. A circle with center $O$ has radius 5. Point $P$ lies outside the circle, and segment $\overline{PT}$ is tangent to the circle at point $T$ . If $\overline{OP}=13$ , what is the length of $\overline{PT}$ ?

A) 8

B) 10

C) 12

D) 18

Question 2 of 3

3. In the $xy$ -plane, a circle has equation $x^2+y^2-10x+4y+c=0$ where $c$ is a constant. If the circle is tangent to the $x$ -axis, what is the value of $c$ ?

A) 4

B) 21

C) 25

D) 29

Question 3 of 3

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