Sector Area 1

Directions: Using the digits 0 to 9 at most one time each, place a digit in each box so that the radius and angle measure result in the sector area.

Hint

How can you determine which radii or angle measures would be unrealistic possibilities without calculating them?

Answer

There are four possible answers:

radius = 7 units
theta = 360°
sector area = 49 units2

radius = 8 units
theta = 135°
sector area = 24 units2

radius = 9 units
theta = 280°
sector area = 63 units2

radius = 9 units
theta = 360°
sector area = 81 units2

Source: Robert Kaplinsky

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