360 degrees
½ the sum of the intercepted arcs.
why dont the central angle change regardless the size of the circle
The sum of one angle is simply the measure of that angle.
the angle sum of a pentagon is 540.
360 degrees
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
½ the sum of the intercepted arcs.
If two chords intersect inside a circle, the acute angle they form is one half of the sum of the arcs intercepted by its sides and by the vertical angle SO... The acute angle will be one half the sum of the two arcs. So it is 1/2(42+94)=68 degrees.
why dont the central angle change regardless the size of the circle
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
A quadrilateral is inscribed in a circle it means all the vertices of quadrilateral are touching the circle. therefore it is a cyclic quadrilateral and sum of the opposite angles in cyclic quadrilateral is supplementary. suppose if one angle is A then another will be 180 degree - angle A.
The sum of one angle is simply the measure of that angle.
angle sum of a parallelogram
the angle sum of a pentagon is 540.
Central Angle An angle in a circle with vertex at the circle's center.
An angle sum is the sum (in degrees) of the particular angles you are measuring.