Geometry SOL Polygons Circles 3D Figures Strand Quiz

A circle has a radius of 8 cm. The measure of the arc of the shaded section is 72⁰. Which is closest to the area of the shaded section of the circle?

• 10.1 cm²
• 40.2 cm²
• 50.3 cm²
• 160.8 cm²

When inscribed in a certain circle, ΔABC intercepts arcs as shown in the diagram. What is the measure of ∠BAC?

• 90⁰
• 70⁰
• 40⁰
• 20⁰

In the diagram, segment AB is tangent to the circle at point A, and segment BD intersects the circle at points C and D. What is the value of x?

• 3
• 4
• 5
• 6

ABCD is a rhombus. What are the coordinates of vertex C?

• (5, 4)
• (6, 4)
• (8, 4)
• (4, 3)

The figure shows a right circular cone on top of a hemisphere with the same radius. To the nearest whole number, what is the volume of this solid?

• 201 cm³
• 256 cm³
• 278 cm³
• 309 cm³

TV is a diameter of circle Z. What is the value of x?

• 4
• 6
• 8
• 10

In the drawing, a regular polygon is partially covered by a rectangle. What is the number of sides of this polygon?

• 12
• 10
• 8
• 6

Given circle B. What is the m∠ADC?

• 23°
• 46°
• 77°
• 80°

A rectangular rug is 24 feet long and 10 feet wide. A rhombus design is formed inside the rug by joining the midpoints of each side of the rectangle. What is the length of each side of the rhombus?

• 13 ft
• 26 ft
• 169 ft
• 240 ft

In circle C, the measure of arc WX = 25⁰, the measure of arc XY = 40⁰, the measure of arc YZ = 25⁰, and WY = 24 cm.  What is the length of segment XZ?

• 12 cm
• 24 cm
• 25 cm
• 65 cm