Answer:
area of the sector = 360π cm²
Step-by-step explanation:
To calculate the area of the sector, we will follow the steps below;
First write down the formula for calculating the area of a sector.
If angle Ф is measured in degree, then
area of sector = Ф/360 × πr²
but if angle Ф is measured in radians, then
area of sector = 1/2 × r² × Ф
In this case the angle is measured in radiance, hence we will use the second formula
From the question given, radius = 15 cm and angle Ф = 8π/5
area of sector = 1/2 × r² × Ф
=1/2 × 15² × 8π/5
=1/2 ×225 × 8π/5
=360π cm²
area of the sector = 360π cm²
That’s easy. To turn 5/2 into 10/4 you multiply by 2. :D Hope this helps!
Answer: 4
Step-by-step explanation:
Answer:
Is this for a Trig class? just wondering
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
we want to find the Hypotenuse (Hyp) and are given an angle and the adjacent side (adj) sooo use CAH , b/c it has all of the pieces
Cos(37) = Adj / Hyp
Cos(37) = 11 / Hyp
swap Cos(37) and Hyp... an algebra trick you should know from college algebra or where ever you learned algebra
Hyp = 11 / Cos(37)
now solve with your handy TI 83 / 84 / 89 calculator :) if you don't have one go get one . :D get the 89 if you are going into engineering classes... the 83 /84 if not. (obviously there are many many other good choices, i'm not really a calculator salesman on the side :D )
Hyp = 13.77349...
Hyp = 13.8 ( rounded to nearest 10th ) :)
Answer is 70degree because if angle 1 is 70 then angle 2 also will be the same then it means even angle 3 will be 70.
HOPE IT HELPS :)
