Anyone wanna help me with my homework
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Answer:
Yes, i believe that the generalization about the measure of a point angle of a star polygon is true.
First we find sum of interior angle of an n-sided star polygon.
number of triangle in a polygon = n - 2
sum of interior angle of a triangle = 180°
sum of interior angle of an n-sided star polygon = ( n - 2 ) × 180°
To find measure of a point angle, we use:
× 180°
To find a point angle we eliminate density by multiplying d by 2 in the formula for finding number of triangle, divide the whole by total number of sides and then multiply by the sum of interior angle of triangle(180°).
Since all the angle of a regular star polygon are equal, we can calculate each pointy interior angle of a regular star polygon using the formula given below:
× 180°
The radius of this circle is (B) 4.9 cm.
<h3>To find the radius of the circle:</h3>To solve this problem, we need to, first of all, convert the angle from radians to degrees.
data;
- length of an arc = 18cm
- angle = 7/6π rads
- π= 3.14
Length of an Arc:
The formula for the length of an arc is given:
θ/360 ×
Let's substitute the values and solve:
From the calculations above, the radius of this circle is 4.9cm.
Therefore, the radius of this circle is (B) 4.9 cm.
Know more about radius here:
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Complete question
A circle has a central angle measuring 7pi/6 radians that intersects an arc of length 18 cm. What is the length of the radius of the circle? Round your answer to the nearest tenth. Use 3.14 for pi.
(A) 3.7 cm
(B) 4.9 cm
(C) 14.3 cm
(D) 15.4 cm