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What is the sum of the interior angles of all circles?

Option 1: 180 degrees
Option 2: 360 degrees
Option 3: 540 degrees
Option 4: 720 degrees

asked
User Djwbrown
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1 Answer

1 vote

Final answer:

The sum of the interior angles of all circles refers to the circular angle from one complete revolution, which is 360 degrees. A circle does not have interior angles like a polygon, hence the question is about the circular angle, measured as 360 degrees.

Step-by-step explanation:

The sum of the interior angles of a circle is a bit of a trick question because a circle does not have interior angles as a polygon does. However, when we talk about the total amount of degrees in a circle, we refer to the circular angle formed by one complete revolution around the circle.

One complete revolution around the circle is equal to 360 degrees. This is based on the principle that the circumference of a circle can be described by the formula 2πr, which correlates to the rotational angle Δθ = 2π. When converted into degrees, this angle is equivalent to 360°, which means that the correct option for the sum of the interior angles of all circles is 360 degrees.

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User HKTonyLee
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