Mathematics Worksheet 12a 11b

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?

• 55°

• 40°

• 180°

• 110°

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?

• 55°

• 90°

• 110°

• 180°

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°.

In the diagram, chords FD and GH are shown. What is mGH given mDF?

• 50°

• 90°

• 100°

• 80°

In the diagram, a cyclic quadrilateral is inscribed in the circle. Which TWO measures are the measures of the missing angles?

• 86°

• 94°

• 100°

• 80°

• 78°

In Circle V, RU and RX are tangents to the circle at points U and X, respectively. What is the m∠R?

• A. 40°

• B. 70°

• C. 50°

• D. 80°

Determine the area of the composite figure. (Refer to the diagram.)

• A. 380 yd²

• B. 310 yd²

• C. 240 yd²

• D. 140 yd²

In Circle C, the measures of arc PQ and angle PSQ are shown. What is the measure of arc KQ?

• 60°

• 70°

• 80°

• 90°

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°

Calculate the area of the compoiste shape.

• 35.5

• 48.23

• 67.5

• 89.2