Given the area determine the diameter of a circle

Given the area determine the diameter of a circle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial guides students through determining the diameter of a circle given its area. The teacher emphasizes the importance of visualizing the problem by drawing a picture and using the correct formula. The area formula πR² is explained, and the process of solving for the radius is demonstrated. The teacher advises against premature rounding during calculations. Finally, the diameter is calculated by doubling the radius, with a reminder to round only at the end.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step the teacher suggests when trying to solve the problem of finding the diameter of a circle?

Calculate the circumference

Estimate the area

Draw a picture of the circle

Find the radius directly

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which formula is used to calculate the area of a circle?

Area = πD²

Area = 2πR

Area = 2πR²

Area = πR²

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between the diameter and the radius of a circle?

Diameter is twice the radius

Diameter is half the radius

Diameter is the square of the radius

Diameter is equal to the radius

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why does the teacher advise against simplifying or rounding too early in the calculations?

It is unnecessary for this problem

It can lead to incorrect results

It makes the problem more complex

It is a waste of time

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After finding the radius, what is the final step to determine the diameter?

Multiply the radius by two

Add π to the radius

Divide the radius by two

Subtract π from the radius