How can you simplify the calculation of the area of a shape with cut-off corners?

Calculating Areas and Perimeters

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Mia Campbell
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
By ignoring the cut-off corners
By using only the perimeter
By adding the areas of individual triangles
By considering it as a large square with corners cut off
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the error in the initial calculation involving the triangle and semi-circles?
Using the wrong units
Using the wrong formula for the area of a circle
Incorrectly identifying the hypotenuse
Forgetting to add the semi-circle areas
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the correct approach to calculate the perimeter of a shape with semi-circles?
Ignore the semi-circles
Use three times half the circumference of the circles
Multiply the radius by pi
Add the diameters of the semi-circles
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of identifying an equilateral triangle in the problem?
It provides equal angles and sides for further calculations
It helps in calculating the area of the sector
It is irrelevant to the problem
It simplifies the calculation of the perimeter
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you determine the area of a sector in a circle?
By using the formula for the area of a rectangle
By subtracting the area of a triangle
By calculating one-sixth of the circle's area
By doubling the radius
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of overlapping two identical sectors in the problem?
To find the total area of the circle
To identify the double-counted triangle
To simplify the problem
To calculate the perimeter
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to perform a sense check on your calculations?
To make the problem more complex
To ensure the calculations are within a reasonable range
To skip unnecessary steps
To avoid using formulas
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