Two lines intersect at point B, which is also the endpoint of two rays.
1 answer:
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Answer:
Option D.75°
Step-by-step explanation:
we know that
The sum of the interior angles of a regular dodecagon is equal to
where
n is the number of sides
In this problem
n=12 sides
substitute
Find the measure of each interior angle
Divide the sum of the interior angles by the number of sides
The measure of the angle formed by the radius and the side of a regular dodecagon is half the measure of the interior angle
therefore
Answer:
<u>Option D: A cylinder with a circumference of about 50 units</u>
Step-by-step explanation:
The rest of the question is the attached figure.
The square shown has a perimeter of 32 units. The square is rotated about line k. What shape is created by the rotation and what is the approximate circumference of the base? Circumference of a circle: C = 2πr
===================================================
Given: the perimeter of the square = 32
perimeter of a square is four times the length of its side
So, the side length of square = 32/4 = 8 units
The square is rotated about line k.
So, it will form a cylinder with radius 8 units.
Circumference of a circle = 2 π r
Where, r is the radius of the circle.
Circumference of the base is C = 2 π * 8
∴ C = 16π = 16 * 3.14
∴ C = 50.26548 ≈ 50
The shape is created by the rotation is a cylinder with a circumference of about 50 units.
<u>So, the answer option is D.</u>
