Question

What is the sector with a central angle of 185 degrees and a diameter of 6.4 m? Round to the nearest tenth.
66.1m^2
5.3m^2
16.5m^2
21.0m^2

Answer 1

The area of a sector is 
     $A=\frac{1}{2}r^2\theta =\frac{1}{2}\left(3.2\:m\right)^2\left(185\cdot \frac{\pi }{180}\right)=16.5\:m^2$

The answer is 16.5 square meters. 

Answer 2

Geometry B  Unit 5: Area - Lesson 10: Area Unit Test

1. What is the area of the trapezoid? The diagram is not drawn to scale.

72 cm^2

     

2.   Given the regular polygon, what is the measure of each numbered angle?

m∡1 = 36°; m∡2 = 72°

   

3.  What are a) the ratio of the perimeters and b) the ratio of the areas of the larger figure to the smaller figure? The figures are not drawn to scale.  

5/2 and 25/4

   

4.   What is the area of a regular pentagon with a side of 12 in.? Round the answer to the nearest tenth.

247.7 in.2

 

5.   Name the minor arc and find its measure.

AB; 162°

 

6.   What is the circumference of the given circle in terms of pi_symbol?

28pi in.

7.   What is the area of the given circle in terms of pi?

10.89pi m^2

8.   What is the area of a sector with a central angle of 185° and a diameter of 6.4 m? Round the answer to the nearest tenth.

16.5 m^2

9.   What is the area of the shaded region in the given circle in terms of pi_symbol and in simplest form?

(270 pi + 81 Root 3) m^2