zMath 160  - Unit 23: Circumference and Area of Circles and Circle Sectors

Parts of a Circle

Click here to print out the chart and record your findings. Find a plate to use as the first object and measure to find the circumference (C) and diameter (d). Divide to find C ÷ d. Use a ruler to measure the diameter in centimeters to the nearest tenth of a centimeter (eg. 5.1 cm). Use a string or yarn to wrap around the circle, then extend it out in a straight line and measure the length in centimeters to the nearest tenth. When you do this you are measuring the object’s circumference (distance around the circle). Use a string that doesn’t stretch easily for better results. You may use a calculator to divide. Find two more circular objects to measure and calculate circumference divided by diameter. Use the chart to answer questions #1 through #3.  


1)

State the answers. 


20000 character(s) left



Attachments
There are no attachments

 Attach a File
2)

State the answers. 


20000 character(s) left



Attachments
There are no attachments

 Attach a File
3)

State the answers. 


20000 character(s) left



Attachments
There are no attachments

 Attach a File
4)

State the answer. 


20000 character(s) left



Attachments
There are no attachments

 Attach a File
5)

State the answer. 


20000 character(s) left



Attachments
There are no attachments

 Attach a File

Circumference of a Circle


6)

Find the radius of a circle if its diameter is 25 inches.


250 character(s) left

7)

Solve.


250 character(s) left

8)

Find the circumference of a circle with a radius of 8 feet.


250 character(s) left

9)

Find the circumference of a circle with a diameter of 17 inches.


250 character(s) left

Area of a Circle


10)

Study the explanation and development of the area formula provided in the link on the overview page. Would the formula change if the circle was divided into 100 pieces instead of 12? Explain why or why not.


20000 character(s) left



Attachments
There are no attachments

 Attach a File

For problems #11 through #13, find the area for circles with the given dimensions. Be sure to label the answer correctly.


11)

radius = 6 in


250 character(s) left

12)

diameter = 10 in


250 character(s) left

13)

radius = 2.3 cm


250 character(s) left

Area of Circle Sectors

Use the orange circle to compute the areas for problems 14 – 17. Round to nearest hundredth when necessary.


14)

Find the circle’s area.


250 character(s) left

15)

Find half the circle’s area


250 character(s) left

16)

Find one-third the circle’s area. Round to nearest hundredth.


250 character(s) left

17)

Solve.


250 character(s) left

18)

Find the area of the green and pink circle sector. Express answer in hundredths.


250 character(s) left

Review


19)

How many non-overlapping diagonals can be drawn in a decagon?


250 character(s) left

20)

State the letter of the answer and the answer to each of the items given.


20000 character(s) left



Attachments
There are no attachments

 Attach a File
21)

A rectangle is a parallelogram. What special characteristic does a rectangle have that not all parallelograms have?


4000 character(s) left

22)

In creating this design, if the top left section was created first, and then the bottom right section was created next, what kind of transformation did the artist use to create it? Assume no color was applied until after the entire design was created. Choose from translation, reflection, or rotation.


250 character(s) left

23)

Make the following customary units conversions. State the letter and then the answer. 

       a.    3 pt   = ____ c

       b.    7 qt   = ____ pt

       c.     8 min = ____ sec

       d.    96 hr = ____ da


20000 character(s) left



Attachments
There are no attachments

 Attach a File
24)

Make the following metric units conversions. State the letter and then the answer.

       a.    7.2 cm    = ____ mm

       b.    5400 g    = ____ kg

       c.     6 L         = ____ mL

       d.    78,000 m = ____ km


20000 character(s) left



Attachments
There are no attachments

 Attach a File
25)

Fill in the blank with the type of geometric figure that is illustrated. Choose from the terms given. State the letter and then the answer.


20000 character(s) left



Attachments
There are no attachments

 Attach a File
26) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form.
No offline activities found
0 Hour(s) & 0 Minute(s)

If you are NOT required to complete Offline Activities for this course, please check the box below.





Attachments
There are no attachments

 Attach a File