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It's actually 2(pi), you technically need to say 360 degrees. I believe we defined it to be that, but you can prove that it's 360 degrees:
Draw a diameter.
Draw a second diameter perpendicular to the first.
You now have four right angles.
Right angles measure 90 degrees.
90 * 4 = 360
Hence, there are 360 degrees in the circle.
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∙ 12y ago
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What is the angle sum of an circle?
360 degrees
What is the sum of the central angle measure of a circle?
360 degrees
How many degrees are in the sum of an angle and an exterior angle of a regular polygon?
360 ________________________________________________ Sum of Interior Angles of a Polygon = 180 (n-2) Sum of Exterior Angles of a Polygon = 360 The sum of an angle and an exterior angle of a regular polygon is 360
How do inscribed angles help you understand angles that occur outside the circle?
The inscribed angle forms the apex of the angle. It is a point. To circumscribe the point is 360 degrees. So the inscribed angle and the reflex (outscribed) angle sum to a total of 360 degrees.
What is the sum of a rhombus angles?
360 because ALL quadrilaterals have an angle sum of 360
What is the angle sum of an circle?
360 degrees
What is the sum of the central angle measure of a circle?
360 degrees
Why is the angle sum of a trapezoid 360?
Because the angle sum of all quadrilaterals is 360 degrees.
Is there a regular polygon with an interior angle sum 9000?
A polygon with n sides inscribed in a circle has an angle sum of 180xn-360 So the problem is find n so that 180n-360=9000 => n=48 The regular polygon with an angle sum of 9000 has 48 sides
How many degrees are in the sum of an angle and an exterior angle of a regular polygon?
360 ________________________________________________ Sum of Interior Angles of a Polygon = 180 (n-2) Sum of Exterior Angles of a Polygon = 360 The sum of an angle and an exterior angle of a regular polygon is 360
How do inscribed angles help you understand angles that occur outside the circle?
The inscribed angle forms the apex of the angle. It is a point. To circumscribe the point is 360 degrees. So the inscribed angle and the reflex (outscribed) angle sum to a total of 360 degrees.
If three angles of a quadrilateral measure 90 87 and 90 what is the measure of the fourth angle?
Calculate the fourth angle so that the sum of the angles is 360 degrees.Calculate the fourth angle so that the sum of the angles is 360 degrees.Calculate the fourth angle so that the sum of the angles is 360 degrees.Calculate the fourth angle so that the sum of the angles is 360 degrees.
What is the angle sum of a parallelogram?
The answer is 360 degrees.
What is the sum of the exterior angle of a polygon with 14 sides?
If the polygon is regular then it will fit inside a circle therefore the exterior angles will sum to 360 each exterior angle will be 360/14 = 25.71 which makes each interior angle 180-25.71=154.29 which makes the sum of interiors 14 x 154.29 = 2160.06
What is the sum of a circle?
360 degrees.
What is the sum of a rhombus angles?
360 because ALL quadrilaterals have an angle sum of 360
Does a nonconvex polygon have exterior angles equal to 360?
No, but the sum of the exterior angles is 360 degrees. But remember that the exterior angle related to any reflex angle will be negative.No, but the sum of the exterior angles is 360 degrees. But remember that the exterior angle related to any reflex angle will be negative.No, but the sum of the exterior angles is 360 degrees. But remember that the exterior angle related to any reflex angle will be negative.No, but the sum of the exterior angles is 360 degrees. But remember that the exterior angle related to any reflex angle will be negative.
