Answer:
<u>The area of the hexagon is A. 96√3 cm²</u>
Step-by-step explanation:
Let's recall the formula of the area of an hexagon, this way:
Area = (3√3/2) * s²
Area = (3√3/2) * 8²
Area = (3√3/2) * 64
Area = 192√3/2
Area = 96√3 cm²
<u>The area of the hexagon is A. 96√3 cm²</u>
Answer:
D
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y )
That is the x- coordinate remains unchanged while the y- coordinate is the negative of the original y- coordinate.
Given
A(- 3, 5 ) → A'(- 3, - 5 )
B(2, 8 ) → B'(2, - 8)
C(- 4, - 5 ) → C'(- 4, 5 )
The rule for reflection in the x- axis has been applied here → D
Answer:
Circumference: 64π
Ratio: 1 : 4
Measure of ∠xoy: π/2
Step-by-step explanation:
We are given an arc length of 16π. Since it's in terms of pi, we use the formula
S = rФ where r is the radius, and Ф is the measure of the angle in radians (in terms of pi)
We are given S = 16π and r = 32, plug those in and find Ф
16π = 32Ф
16π/32 = Ф
π/2 = Ф
This is the measure of the central angle.
The angle is π/2 radians. There are 2π radians in the circumference, so the circumference is 4 times the arc length created by the central angle. (There are 4 halves in 2) so the ratio of the arc length tothe circumference is 1 : 4
The formula for circumference is C = 2πr, where r is the radius, so we hace
C = 2π(32) = 64π