Polygons and Circles Assessment

What is the sum of the measures of the interior angles of a 27-gon?

• 4860

• 4500

• 5220

• 166.7

If the sum of the interior angles of a polygon is 2340, how many sides does it have?

• 11 sides

• 13 sides

• 15 sides

• 16 sides

If the polygon shown below is a regular nonagon, what is the measure of x?

(Type in only a number)

Solve for x.

(Only type in a number for your response)

Find the arc length

• 5.50 cm

• 11 cm

• .39 cm

• 141.37 cm

Find the area of the shaded region

• 9.2

• 10.5

• 31.4

• 38.2

The minute hand on a clock is 10 cm long and travels through an angle of 108 degrees every 18 minutes. Which answer choice is the closest to the length of the arc the minute hand travels in those 18 minutes?

• 3 cm

• 6 cm

• 9.4

• 18.8

Find the area of the regular pentagon

• 688.2

• 394.1

• 229.1

• 458.2

A ______________ polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides are equal length)

• plain

• perfect

• regular

• magical

Find the measures of each of the missing angles in the diagram.

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