How to find the diameter of a circle with a given area

How to find the diameter of a circle with a given area

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial guides students through the process of finding the diameter of a circle given its area. It begins with an introduction to the problem, followed by drawing a circle and setting up the area formula. The instructor then demonstrates how to calculate the radius by dividing the area by π and taking the square root. Finally, the diameter is found by doubling the radius, and the importance of rounding only at the end is emphasized.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the problem of finding the diameter of a circle given its area?

Estimate the radius

Calculate the circumference

Draw a diagram and write the formula

Find the diameter directly

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you isolate the radius in the formula for the area of a circle?

Subtract π

Multiply by π

Add π

Divide by π

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the approximate value of π used in the calculation?

3.14

3.14159

3.1416

3.142

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important not to round numbers until the end of the calculation?

To ensure the calculator works properly

To simplify the formula

To make the process faster

To avoid calculation errors

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final step to find the diameter once the radius is known?

Subtract the radius from itself

Divide the radius by two

Multiply the radius by two

Add the radius to itself