Open Up - Grade 7 - Mathematics - Unit 3 - Lesson 8
By Formative Library
starstarstarstarstar
Last updated over 2 years ago
10 Questions
1
1.
The picture shows a circle divided into 8 equal wedges which are rearranged.
The radius of the circle is r and its circumference is 2𝜋r . How does the picture help to explain why the area of the circle is 𝜋r2?
1
2.
A circle’s circumference is approximately 76 cm.
Estimate the radius of the circle.
7.G.4
1
3.
A circle’s circumference is approximately 76 cm.
Estimate the diameter of the circle.
7.G.4
1
4.
A circle’s circumference is approximately 76 cm.
Estimate the area of the circle.
7.G.4
1
5.
Jada paints a circular table that has a diameter of 37 inches.
What is the area of the table?
7.G.4
1
6.
The Carousel on the National Mall has 4 rings of horses. Kiran is riding on the inner ring, which has a radius of 9 feet. Mai is riding on the outer ring, which is 8 feet farther out from the center than the inner ring is.
In one rotation of the carousel, how much farther does Mai travel than Kiran?(Round to the nearest tenth)
7.G.4
1
7.
The Carousel on the National Mall has 4 rings of horses. Kiran is riding on the inner ring, which has a radius of 9 feet. Mai is riding on the outer ring, which is 8 feet farther out from the center than the inner ring is.
One rotation of the carousel takes 12 seconds. How much faster does Mai travel than Kiran?(Round to the nearest tenth)
7.G.4
1
8.
Here are the diameters of four coins:
A coin rolls a distance of 33 cm in 5 rotations. Which coin is it?(round to the nearest tenth)
7.G.4
1
9.
Here are the diameters of four coins:
A quarter makes 8 rotations. How far did it roll?(round to the nearest tenth)
7.G.4
1
10.
Here are the diameters of four coins:
A dime rolls 41.8 cm. How many rotations did it make?(round to the nearest whole number)
7.G.4
"Source: Open Up Resouces (Download for free at openupresources.org.)"