Open Middle®

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.

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

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

Directions: Using the digits 0 to 9 at most one time each, create two similar …