Circle Area Calculation: Can a 5-Unit Chord Determine the Complete Circle?

Look at the circle in the diagram.

AB is a chord.

Is it possible to calculate the area of the circle?

555AAABBB

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Step-by-step video solution

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00:00 If possible, calculate the area of the circle
00:03 We'll use the formula for calculating circle area
00:07 We don't know anything about the radius, therefore it cannot be calculated
00:12 The given chord doesn't pass through the circle's center, therefore it's not a diameter
00:15 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Look at the circle in the diagram.

AB is a chord.

Is it possible to calculate the area of the circle?

555AAABBB

2

Step-by-step solution

Since AB is just a chord and we know nothing else about the diameter or the radius, we cannot calculate the area of the circle.

3

Final Answer

It is not possible.

Practice Quiz

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A circle has a circumference of 31.41.

What is its radius?

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