Geometry Circles & Arcs 2

Question 1

A central angle measures 72°. What fraction of the full circle does its arc represent?

Accepted Answer

1/5

Answer

1/4

Answer

1/3

Answer

2/5

Question 2

An inscribed angle intercepts an arc of 100°. What is the measure of the inscribed angle?

Accepted Answer

50°

Answer

100°

Answer

200°

Answer

80°

Question 3

A circle has radius 6. What is the length of an arc subtended by a central angle of 60°?

Accepted Answer

2π

Answer

6π

Answer

π

Answer

12π

Question 4

Two tangents drawn from an external point to a circle are always:

Accepted Answer

Equal in length

Answer

Perpendicular to each other

Answer

Parallel

Answer

Diameters

Question 5

A sector has a central angle of 90° in a circle of radius 4. What is its area?

Accepted Answer

4π

Answer

16π

Answer

π

Answer

8π

Question 6

An angle inscribed in a semicircle always measures:

Accepted Answer

90°

Answer

45°

Answer

180°

Answer

60°

Question 7

The measure of an arc equals the measure of its central angle. If an arc is 145°, its central angle is:

Accepted Answer

145°

Answer

72.5°

Answer

290°

Answer

35°