Measuring Circles End-of-Unit Study Guide

A circle has a radius 30 cm. What is the area, in square centimeters, to the nearest whole number?

Mathematical Equivalence

ON

Tags

CCSS.7.G.B.4

Select all the expressions that correctly calculate the perimeter of the shape.

• 260 + 52π

• 156 + 52π

• 260 + 26π

• 52 + 104 + 52π + 52 + 52

• 52 + 104 + 26π + 52 + 52

Tags

CCSS.3.MD.D.8

What is the circumference of a circle with a diameter of 1?

Keep your answer in terms of pi.

Mathematical Equivalence

ON

Tags

CCSS.7.G.B.4

What is the circumference of a circle with a radius of 1?

Keep your answer in terms of pi.

Mathematical Equivalence

ON

Tags

CCSS.7.G.B.4

What is the area of a circle with a radius of 1?

Keep your answer in terms of pi.

Mathematical Equivalence

ON

Tags

CCSS.7.G.B.4

What is the area of a circle with a diameter of 1?

Keep your answer in terms of pi.

Mathematical Equivalence

ON

Tags

CCSS.7.G.B.4

What is the constant of proportionality relating the circumference and the diameter of a circle?

Mathematical Equivalence

ON

Tags

CCSS.7.G.B.4

Organize these options into the right categories

Groups:

(a) Circumference

,

(b) Area

• Painting a circular wall.

• Distance around a circular garden.

• Covering the bottom of a round jar with rice.

• Distance your bicycle wheel travels in one rotation.

Which graph correctly relates diameter and circumference?

• 
• 
• 
• 

Tags

CCSS.7.G.B.4

Is the relationship between diameter and circumference proportional? ​ (a)   , because ​ ​ (b)  

• Yes
• No
• circles have curved lines
• the graph does not start at the origin
• the constant of proportionality is pi
• the constant of proportionality is the radius

Tags

CCSS.7.G.B.4