Math, asked by rowanwahbaa2005, 6 months ago

the sum of the measures of the angles of the quadrilateral in radian equals

Answers

Answered by Anonymous
3

Answer:

The Quadrilateral Sum Conjecture tells us the sum of the angles in any convex quadrilateral is 360 degrees. Remember that a polygon is convex if each of its interior angles is less that 180 degree.

Answered by NirmalPandya
1

Given:

A quadrilateral.

To find:

Sum of measures of the angles in radians.

Solution:

A quadrilateral is a polygon having four sides with four angles. On adding all the angles, the sum will be 360°. But this is in degrees. The problem is asking for the sum in radians. To convert degrees into radians, multiply the number with \frac{\pi }{180}.

Here, the sum is measured in degrees. We will multiply 360° with \frac{\pi }{180} to determine the sum of measures of angles in radians.

Angle sum in radians = 360*\frac{\pi }{180}=2\pi

Hence, the sum of measures of angles of a quadrilateral in radians is 2\pi.

The sum of measures of angles of a quadrilateral in radians is 2\pi.

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