There is not enough information to calculate an angle. At the very least, you need to know that the polygon is regular. You do not know that.
To find the arc length given the radius and angle measure in degrees, you must first convert the angle from degrees to radians, using the formula: Degrees = Radians X (pi/180). Then take the radians and the radius that you are given, and put them into the formula of Q = (a/r) where Q is the angle in radians, a is the arc length, and r is the radius. When you have this, simple multiply both sides by the radius to isolate the a. Once you do this, you have your answer.
To calculate the number of sides of a regular polygon, we can use the formula: Number of sides (n) = 360° / Exterior angle Let's find the number of sides for each given exterior angle: a = 9°: n_a = 360° / 9° = 40 sides b = 30°: n_b = 360° / 30° = 12 sides c = 24°: n_c = 360° / 24° = 15 sides d = 22.5°: n_d = 360° / 22.5° = 16 sides So, the number of sides for each given exterior angle are: a = 40 sides b = 12 sides c = 15 sides d = 16 sides
180-interior angle = exterior angle 360/exterior angle = number of sides
Let S be the sum of the measures of all the interior angles, in degrees. Then the number of sides is S/180 + 2.
In general you cannot. Only if the shape in question is a regular polygon, then there are 360/10 = 36 sides.
gghg a regular polygon has a 32 sides. calculate the size of each interior angle.
With a regular polygon: 360/exterior angle = number of sides
Measure the two sides adjacent to the angle and the diagonal at the far ends of these sides. Then use the cosine rule to calculate the angle.
by the number of sides, 'n' of that particular polygon. by the exterior angle. Therefore, the number of sides of the polygon is 24 sides.
180-interior angle = exterior angle 360/exterior angle = number of sides
Interior angle = 174 so exterior angle = 180-174 = 6 degrees. Therefore, number of sides = 360/exterior angle = 360/6 = 60 sides.
The measure of only one angle and one side is not sufficient to calculate the lengths of the sides of a triangle. If you have one more angle or one more side you can use the sine rule.