Multiple choice

The following table gives the ares of the oceans of the world Ocean Area (million $\displaystyle km^{2}$) Pacific $70.8$ Atlantic $41.2$ Indian $28.5$ Antarctic $7.6$ Arctic $4.8$ A pie diagram of this data is to be drawn What is the angle which the sector representing Pacific Ocean subtends at the center?

  1. $\displaystyle 167^{\circ}$
  2. $\displaystyle 97^{\circ}$
  3. $\displaystyle 67^{\circ}$
  4. $\displaystyle 18^{\circ}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The total ocean area is 152.9 million km^2. The Pacific sector angle is 70.8/152.9 x 360 = 166.7 degrees approximately, which rounds to 167 degrees.

AI explanation

First, find the total area of all the oceans by adding the given values: 70.8 + 41.2 + 28.5 + 7.6 + 4.8 = 152.9 million square kilometers. The central angle for the Pacific Ocean is calculated using the pie chart sector formula, which is the Pacific area multiplied by 360 degrees divided by the total area. Substituting the numbers gives 70.8 multiplied by 360 divided by 152.9, which equals approximately 166.67 degrees. Rounding to the nearest whole number gives 167 degrees.

Keep practicing — related questions