equations of proportional relationships
identifying proportional relationships
Circumference of a Circle
Area of a Circle
Area or Circumference of Partial Circles
100

Is this equation proportional? y= 3x

If so what is the constant of proportionality? (m)

Yes

m=3

100

Is this graph proportional? 


YES

100

The diameter of the circle is 12 cm and Pi equals 3.14, find the circumference

37.68 cm

100

The radius of the circle is 8 cm and Pi equals 3.14, find the area of the circle

200.96 sq cm

100

Find the circumference of the arc


21.98 units

200

Is this equation proportional? If so what is the constant of proportionality? (m=)


y= 4x + 10 

Not proportional 

200

Is the graph a proportional relationship? Why?

NO 

Does not go through the origin

200

The diameter of the circle is 20 in and Pi equals 3.14, find the circumference

62.80 in

200

The radius of the circle is 2 m and Pi equals 3.14, find the area of the circle

12.56 sq. m

200

Find the circumference of the arc




12.56 units

300

Kaylee loves to read and discuss books, so she joined a book club. The first book she read as a member of the club was a novel set in ancient Rome. Kaylee read the novel at a rate of 10 pages per hour.

There is a proportional relationship between the time Kaylee has spent reading the novel (in hours), x. and the number of pages she has read, y. Write the equation showing the relationship between the hours spent reading (x) and the pages read (y)

y=10x

300

Is the table proportional? 


No


300

The radius of the circle is 9 cm and Pi equals 3.14, find the circumference

56.52 cm

300

The diameter of the circle is 20 cm and Pi equals 3.14, find the area of the circle

314 sq cm

300

Find the area of the half-circle

76.93 sq. units

400

Write an equation for the table given the table is proportional. 



Y= 3/2 x

400

Is the table proportional? 


Yes it is proportional 

400

The radius of the circle is 2.5 m and Pi equals 3.14, find the circumference

15.7 m

400

The diameter of the circle is 10 sq in and Pi equals 3.14, find the area of the circle

78.5 sq in

400

Find the area of the quarter-circle



100.48 sq units