Geometry Circles & Arcs 4

Question 1

A secant and a tangent are drawn from an external point. The tangent is 6; the secant's external segment is 4. Find the whole secant length.

Accepted Answer

9

Answer

6² = 4 × whole, so whole = 36/4 = 9.

Question 2

Two arcs in the same circle have equal length. Their central angles must be:

Accepted Answer

Equal

Answer

Equal arcs in the same circle correspond to equal central angles.

Question 3

A circle has area 49π. What is its circumference?

Accepted Answer

14π

Answer

Area 49π gives r = 7, so circumference = 2π(7) = 14π.

Question 4

The angle formed by two chords intersecting inside a circle equals:

Accepted Answer

Half the sum of the intercepted arcs

Answer

An interior angle equals half the sum of the two intercepted arcs.

Question 5

Concentric circles share the same:

Accepted Answer

Center

Answer

Concentric circles have a common center but different radii.

Geometry Practice Test