Area of Regular polygons and circles and sectors review

The distance from the center of a regular polygon to a side of the polygon is called the (a)   of the polygon.

• apothem
• radius
• perimeter
• area

The distance from the center of the regular polygon to one of its vertices is call the (a)   of the polygon.

• apothem
• radius
• perimeter
• area

If the side of an equilateral triangle is 24 in, the area of the triangle is ____________.

• 
  

  $36\sqrt{3}\ in^2$
  

• $72\sqrt{3}\ in^2$

• $144\sqrt{3}\ in^2$

• $288\sqrt{3}\ in^2$

If the radius of a square is  $10\sqrt{2}\ cm,$  then the area of the square is _____________.

•  $50\ cm^2$  

•  $100\ cm^2$  

•  $400\ cm^2$  

•  $1600\ cm^2$  

If the side of a regular hexagon is 8 cm, the area of the hexagon is _____________.

• $96\sqrt{3}\ cm^2$

• $48\sqrt{3}\ cm^2$

• $24\sqrt{3}\ cm^2$

• $16\sqrt{3}\ cm^2$

The area of a  $45\degree$  sector of a circle with a radius of 8 yd is______________.

•  $8\ yd^2$  

•  $8\pi\ yd^2$  

•  $64\ yd^2$  

•  $64\pi\ yd^2$  

The area of a  $120\degree$  sector with a diameter 12 inches is ______________.

•  $6\pi\ in^2$  

•  $12\pi\ in^2$  

•  $48\pi\ in^2$  

•  $96\pi\ in^2$  

The area of a square with an apothem of  $4\sqrt{2}$  ft is ____________  $ft^2.$  (If necessary, round your answer to one decimal place.)

What is the area of the SHADED region? Round your answer to the nearest two decimal places.  
 $A=$  ________________  $cm^2.$  

What is the area of the SHADED region? Round your answer to two decimal places. 
 $A=$  _______________  $cm^2.$