Geometry Mid-Cycle 5 Study Guide

Examine the angles in Circle E. If m∠BEC is 120°, what is m∠BDC?

• m∠BDC = 120°

• m∠BDC = 240°

• m∠BDC = 60°

• m∠BDC = 360°

Tags

CCSS.HSG.C.A.2

The center and the radius of a circle are shown in its equation. A circle is described by the equation

(x - 1)² + (y + 8)² = 16.

What is the center of the circle?

• (1, 8)

• (–1, 8)

• (1, –8)

• (–1, –8)

Tags

CCSS.HSG.GPE.A.1

The center and the radius of a circle are shown in its equation. A circle is described by the equation

(x - 1)² + (y + 8)² = 16. What is the radius of the circle?

• 3

• 4

• 9

• 16

Tags

CCSS.HSG.GPE.A.1

It is possible to convert degrees to radians and radians to degrees. Which radian measure is equivalent to 100°?

Tags

CCSS.HSF.TF.A.1

Points F, H, G and L are points on the circle. Use circle theorems about angles and intercepted arcs to answer the questions. Part A: What is the value of x?

• A. 55°

• B. 40°

• C. 180°

• D. 110°

Tags

CCSS.HSG.C.A.2

Points F, H, G and L are points on the circle. Use circle theorems about angles and intercepted arcs to answer the questions. Part B: What is the value of y?

• A. 55°

• B. 90°

• C. 110°

• D. 180°

Tags

CCSS.HSG.C.A.2

Determine the length of the major arc, s, given the radian measure and the radius of the circle.

Tags

CCSS.HSG.C.B.5

Examine the given dimensions in the diagram. Use the dimensions to calculate the area of the composite shape.

• A. 38.25 ft²

• B. 58.20 ft²

• C. 62.76 ft²

• D. 48.23 ft²

Tags

CCSS.6.G.A.1

In the diagram, m∠FGM is 90°. What is true about chord FM?

• It is tangent to the circle at points F and M.

• It passes through the center of the circle.

• It is equal to chord FG.

• Its length is 180°.

Anthony measured ∠POM in radians as shown. If the diameter of the circle is 28 inches, what is the length of the minor arc PM? Round your answer to the nearest hundredth.

• 11.67 in.

• 23.33 in.

• 36.65 in.

• 73.30 in.

Tags

CCSS.HSG.C.B.5