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

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

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

Keep your answer in terms of pi.

Mathematical Equivalence

ON

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

Keep your answer in terms of pi.

Mathematical Equivalence

ON

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

Keep your answer in terms of pi.

Mathematical Equivalence

ON

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

Keep your answer in terms of pi.

Mathematical Equivalence

ON

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

Mathematical Equivalence

ON

Organize these options into the right categories

Groups:

(a) Circumference

,

(b) Area

• Distance around a circular garden.

• Painting a circular wall.

• Distance your bicycle wheel travels in one rotation.

• Covering the bottom of a round jar with rice.

Which graph correctly relates diameter and circumference?

• 
• 
• 
• 

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