Circle Properties Quiz (Secants, Arcs, Sectors) with Answers

Question 1

A circle has radius $6$ cm and a central angle of $60^\circ$. What is the arc length of the intercepted arc?

Accepted Answer

$2\pi$ cm

Answer

$12\pi$ cm

Answer

$6\pi$ cm

Answer

$\pi$ cm

Question 2

Which statement is ALWAYS true for two chords intersecting inside a circle?

Accepted Answer

The product of the lengths of the two segments of one chord equals the product for the other chord.

Answer

The chords must be perpendicular at the intersection point.

Answer

The sum of the chord lengths is the same for both chords.

Answer

Each chord is bisected at the intersection point.

Question 3

A sector of a circle has area $27\pi$ and radius $9$. What is the arc length of the sector?

Accepted Answer

$6\pi$

Answer

$\frac{8\pi}{3}$

Answer

$3\pi$

Answer

$54\pi$

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