Circle Theorems Quiz Practice Problems with Explanations

Question 1

In a circle, an inscribed angle intercepts an arc of $100^\circ$. What is the measure of the inscribed angle?

Accepted Answer

$50^\circ$

Answer

$100^\circ$

Answer

$200^\circ$

Answer

$25^\circ$

Question 2

From an external point, a tangent of length $12$ touches a circle, and a secant from the same point has an external segment of $6$ and an internal segment of $18$. Which statement is true?

Accepted Answer

$12^2 = 6\cdot(6+18)$

Answer

$12^2 = (6+18)^2$

Answer

$12 = 6+18$

Answer

$12^2 = 6\cdot 18$

Question 3

From point $P$ outside a circle, two secants are drawn. One has external segment $4$ and internal segment $12$. The other has external segment $x$ and internal segment $5$. Find $x$.

Accepted Answer

$x=8$

Answer

$x=16$

Answer

$x=6$

Answer

$x=13$

Circle Theorems Quiz Practice Problems with Explanations

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