The hexagon divides the circle into 6 parts. That means the angle projecting each side is: 360°÷ 6 = 60°
The area of a circle is: πr²
78.54 in² divided by pi is 25 making the radius = 5
I would then use SOH CAH TOA to solve for the side.. knowing the hypotenuse is the radius and the angle to split it into a right triangle is 30°
Sin(30) = s/5
5*Sin(30) = s
12*s = perimeter hexagon
(remember s is half the hexagon side)
12*5*Sin(30) = perimeter hexagon
30 inches = perimeter
Answer:
Option D = 16π/3 ft
Step-by-step explanation:
Arc length formula is written Mathematically as:
Arc length = 2πr × θ /360
r = 4 ft
θ = Central angle in degrees = 240°
2 × π × 4 × 240/360
8π × 240/360
8π × 20/30
16π/3 ft
So, the arc length is 16π/3 ft
He has done 70 push ups because by the 15th he has done 35 push ups add 15 more days and u get 70 .
Answer:
and
.
Step-by-step explanation:
The equation can be simplified with the help of trigonometric identities:

Which means that equation is equal to zero if any component of the product is zero. The solutions of the expression are:
a) 

b) 



Any value different of both subsets do not satisfy the equation described above.
Answer:
C
Step-by-step explanation:
So first, you find the area of a rectangle, which would be 15 * 30 = 450. Next, find the area of the semicircle by doing
(you have to divide by 2 because it's only have a circle).
The radius is half of 15, so 15 / 2 = 7.5. This would be:




The last step is to add 450 + 88.3125 = about 538.3 m^2