Sector Area 2

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 is as close to 60 units2 as possible.

Hint

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

Answer

The radius and angle measure that create a sector area that is as close to 60 units2 as possible is:
radius = 9 units
theta = 280°
sector area = 63 units2

Source: Robert Kaplinsky

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