
Understanding the Largest Empty Circle in a Diagram

Interactive Video
•
Mathematics
•
7th - 10th Grade
•
Hard
+3
Standards-aligned

Ethan Morris
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the initial problem the teacher is trying to solve?
Calculating the area of a triangle
Determining the shortest path between points
Placing the largest empty circle in a diagram
Finding the smallest circle in a diagram
Tags
CCSS.2.G.A.1
CCSS.1.G.A.1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why does the teacher want to move the center of the circle further apart?
To ensure the circle is closer to point E
To maximize the distance from points E, F, and D
To avoid overlapping with other shapes
To make the circle smaller
Tags
CCSS.2.G.A.1
CCSS.1.G.A.1
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
At what point is the circle equally close to points E and F?
When the center is at point F
When the center is at the midpoint between E and F
When the center is at point D
When the center is at point E
Tags
CCSS.HSG.CO.C.9
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why does the largest circle occur at one of the vertices?
Because the vertices are the smallest points
Because the vertices balance the distances from E, F, and D
Because the vertices are the farthest from all points
Because the vertices are the closest to point E
Tags
CCSS.HSG.CO.C.9
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens when the center of the circle gets too close to point D?
The circle becomes smaller
The circle becomes larger
The circle overlaps with point E
The circle overlaps with point F
Tags
CCSS.3.MD.D.8
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the vertices in determining the largest circle?
They are the points where the circle can be the largest without getting too close to E, F, or D
They are the points where the circle is the smallest
They are the closest points to E
They are the smallest points in the diagram
Tags
CCSS.3.MD.D.8
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the teacher determine which vertex will have the largest circle?
By measuring the distances from E to each vertex
By measuring the distances from D to each vertex
By measuring the distances from F to each vertex
By guessing
Tags
CCSS.2.G.A.1
CCSS.1.G.A.1
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