Question 1, Find the measure of Angle ADE, Angle ACE, and Angle BAD.

Part I: An inscribed angle is an angle formed by two chords of a circle which share an endpoint. Find the measure of inscribed angle Angle ADE.

1. Determine the relationship between the mAngle ADE and the m arc AE by circling one of the statements below.

a. mAngle ADE = 2(m arc AE)

b. mAngle ADE = (m arc AE)

c. mAngle ADE = 1/2 (m arc AE)

2. Use the relationship you established in part 1 to find the mAngle ADE. Show your work.

Part II: A secant is a line or segment that passes through a circle in two places. In the diagram above, find the mAngle ACE, which is formed by two secants.

3. Determine the method of finding the mAngle ACE by circling one of the statements below.
a. mAngle ACE = 1/2 (m arc AE + m arc BD)

b. mAngle ACE = 1/2 (m arc AE - m arc BD)

c. mAngle ACE = (m arc AE + m arc BD)

d. mAngle ACE = (m arc AE - m arc BD)

4. Use the relationship you established in part 1 to find the mAngle ACE. Show your work.

5. Use the method from Part I to find the mAngle BAD.

Question 2, Find the difference between the area of a circular table with diameter 8 feet and a circular table with diameter 10 feet. Round your answer to the nearest hundredth. Show your work.

1. Which of the following is the formula for finding the area of a circle? (Circle one)

a. A = r2 b. A = 2 r c. A = 2 d d. A = d2

2. Use the formula you selected in #1 to find the area of a circle with diameter 8 feet. Show your work and round your answer to the nearest hundredth.

3. Use the formula you selected in Part I to find the area of a circle with diameter 10 feet. Show your work and round your answer to the nearest hundredth.

4. Find the difference of your answers from Part II and Part III to find the difference in the areas. Show your work and round your answer to the nearest hundredth. (1 point)
5. The 8 foot diameter circular table has a 4 foot wide extension. What is the total area with the extension? How does the area compare to the area of the 10 foot diameter table? Show your work.