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

Question

Look at the circle in the diagram.

AB is a chord.

Is it possible to calculate the area of the circle?

555AAABBB

Video Solution

Solution Steps

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 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.

Answer

It is not possible.