Question

a pie chart is drawn to show the areas in million of square km of several continents the area of 11.7 sq km of africa is shown by a sector subtending an angle of 81 degree if the subtended angle corresponding to North America is 63 degree it's area is

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Answer 1

Answer:

9.1 sq.km

Step-by-step explanation:

81 degrees=11.7 sq.km

36 degress=5.2 sq.km

63 degrees= 9.1 sq km

Answer 2

The area of North America corresponding to its subtended angle in the pie chart is 9.1 sq km.

Given :

Area of Africa = 11.7 sq km

Angle subtended for Africa in Pie chart = 81 degree

Angle subtended for North America in Pie chart = 63 degree

To Find :

The area of the North American continent

Solution :

In a Pie Chart, the entire range of values or statistics to display is distributed within 360 degrees of the angle. Based on the proportion of any category in the total, an angle is subtended for that sector accordingly.

Calculating from the area of Africa :

The angle subtended for 11.7 km is 81 degrees.

Thus, as 81 degrees account for 11.7 sq km, 1 degree of the pie chart accounts for :

                $= 11.7 / 81$

                $= 0.144$

Calculating for the area of North America :

The 1 degree of the pie chart corresponds to 0.144 sq. km of area. Thus, the area corresponding to 63 degrees is :

                $= 0.144 * 63$

                $= 9.1$

Hence, the area of North America according to its angle in the pie chart is 9.1 sq km.

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