
Calculating Area of Semicircles

Interactive Video
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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
What is the first step in finding the area of a semicircle when the radius is not labeled?
Measure the diameter directly.
Find the center of the circle and measure the radius.
Use the given lengths to calculate the radius.
Assume a random value for the radius.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the first method, what is the significance of dividing the length into a 2:4 ratio?
It is a random choice with no significance.
It simplifies the calculation of the diameter.
It creates two congruent triangles.
It helps in identifying the center of the circle.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the first method use congruent triangles to find the radius?
By calculating the area of the triangles.
By using the perimeter of the triangles.
By comparing the hypotenuses of the triangles.
By measuring the angles of the triangles.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What theorem is applied to calculate the radius in the first method?
The Law of Cosines
The Triangle Inequality Theorem
The Law of Sines
Pythagoras' Theorem
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main difference between the first and second methods?
The first method is more accurate than the second.
The first method uses congruent triangles, while the second does not.
The first method uses algebra, while the second uses geometry.
The first method is longer, while the second is shorter.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the second method, what is the purpose of defining a point as 'O' on the diameter?
To simplify the calculation of the area.
To divide the circle into equal parts.
To establish a reference point for measuring the radius.
To calculate the circumference of the circle.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the quadratic equation used in the second method?
To determine the circumference of the circle.
To calculate the area of the semicircle.
To find the length of the diameter.
To solve for the unknown length 'X'.
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