Question

make a circle graph for each set of data.
top 5 highest - grossing movies in the u.s. as of december 2003

movie	amount in millions
star wars (1977)	$4610
e.t. the extra - terrestrial (1982)	$4351
star wars episode 1 - the phantom menace (1999)	$4037
spider - man (2002)	$3571

source: scholastic kids almanac

Explanation:

To create a circle graph (pie chart) for the given data, we follow these steps:

Step 1: Calculate the total gross amount

First, we sum up all the amounts:
\[
6010 + 4610 + 4351 + 4037 + 3571
\]
\[
6010 + 4610 = 10620
\]
\[
10620 + 4351 = 14971
\]
\[
14971 + 4037 = 19008
\]
\[
19008 + 3571 = 22579
\]
So the total gross amount is \( \$22579 \) million.

Step 2: Calculate the percentage for each movie

• Titanic (1997): \( \frac{6010}{22579} \times 100 \approx 26.62\% \)
• Star Wars (1977): \( \frac{4610}{22579} \times 100 \approx 20.42\% \)
• E.T. The Extra - Terrestrial (1982): \( \frac{4351}{22579} \times 100 \approx 19.27\% \)
• Star Wars Episode 1 - The Phantom Menace (1999): \( \frac{4037}{22579} \times 100 \approx 17.88\% \)
• Spider - Man (2002): \( \frac{3571}{22579} \times 100 \approx 15.82\% \)

Step 3: Calculate the central angle for each movie (since a full circle is \( 360^\circ \))

• Titanic (1997): \( 0.2662\times360\approx95.83^\circ \)
• Star Wars (1977): \( 0.2042\times360\approx73.51^\circ \)
• E.T. The Extra - Terrestrial (1982): \( 0.1927\times360\approx69.37^\circ \)
• Star Wars Episode 1 - The Phantom Menace (1999): \( 0.1788\times360\approx64.37^\circ \)
• Spider - Man (2002): \( 0.1582\times360\approx56.95^\circ \)

Step 4: Draw the pie chart

1. Draw a circle.
2. Use a protractor to mark the central angles calculated for each movie.
3. Label each sector with the movie name and its corresponding percentage (or amount).

To present the data in a table for clarity:

Movie	Amount (in Millions)	Percentage (%)	Central Angle (\(^\circ\))
Star Wars (1977)	4610	20.42	73.51
E.T. The Extra - Terrestrial (1982)	4351	19.27	69.37
Star Wars Episode 1 - The Phantom Menace (1999)	4037	17.88	64.37
Spider - Man (2002)	3571	15.82	56.95

When drawing the pie chart, you can use different colors or patterns for each sector to distinguish between the movies.

Answer:

To create a circle graph (pie chart) for the given data, we follow these steps:

Step 1: Calculate the total gross amount

First, we sum up all the amounts:
\[
6010 + 4610 + 4351 + 4037 + 3571
\]
\[
6010 + 4610 = 10620
\]
\[
10620 + 4351 = 14971
\]
\[
14971 + 4037 = 19008
\]
\[
19008 + 3571 = 22579
\]
So the total gross amount is \( \$22579 \) million.

Step 2: Calculate the percentage for each movie

• Titanic (1997): \( \frac{6010}{22579} \times 100 \approx 26.62\% \)
• Star Wars (1977): \( \frac{4610}{22579} \times 100 \approx 20.42\% \)
• E.T. The Extra - Terrestrial (1982): \( \frac{4351}{22579} \times 100 \approx 19.27\% \)
• Star Wars Episode 1 - The Phantom Menace (1999): \( \frac{4037}{22579} \times 100 \approx 17.88\% \)
• Spider - Man (2002): \( \frac{3571}{22579} \times 100 \approx 15.82\% \)

Step 3: Calculate the central angle for each movie (since a full circle is \( 360^\circ \))

• Titanic (1997): \( 0.2662\times360\approx95.83^\circ \)
• Star Wars (1977): \( 0.2042\times360\approx73.51^\circ \)
• E.T. The Extra - Terrestrial (1982): \( 0.1927\times360\approx69.37^\circ \)
• Star Wars Episode 1 - The Phantom Menace (1999): \( 0.1788\times360\approx64.37^\circ \)
• Spider - Man (2002): \( 0.1582\times360\approx56.95^\circ \)

Step 4: Draw the pie chart

1. Draw a circle.
2. Use a protractor to mark the central angles calculated for each movie.
3. Label each sector with the movie name and its corresponding percentage (or amount).

To present the data in a table for clarity:

Movie	Amount (in Millions)	Percentage (%)	Central Angle (\(^\circ\))
Star Wars (1977)	4610	20.42	73.51
E.T. The Extra - Terrestrial (1982)	4351	19.27	69.37
Star Wars Episode 1 - The Phantom Menace (1999)	4037	17.88	64.37
Spider - Man (2002)	3571	15.82	56.95

When drawing the pie chart, you can use different colors or patterns for each sector to distinguish between the movies.