36 divided by 2 = 18 and 18 + 24 = 42
The length of an arc subtended by a central angle is proportional to the circle's circumference. If the given central angle has measure
and the circle has radius
, then the arc has length
such that
![\dfrac{\ell}\theta=\dfrac{2\pi r}{2\pi}=r](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cell%7D%5Ctheta%3D%5Cdfrac%7B2%5Cpi%20r%7D%7B2%5Cpi%7D%3Dr)
where
is given in radians. Then
![\ell=r\theta](https://tex.z-dn.net/?f=%5Cell%3Dr%5Ctheta)
If
is given in degrees, then
![\dfrac{\ell}\theta=\dfrac{2\pi r}{360}\implies\ell=\dfrac{\theta\pi r}{180}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cell%7D%5Ctheta%3D%5Cdfrac%7B2%5Cpi%20r%7D%7B360%7D%5Cimplies%5Cell%3D%5Cdfrac%7B%5Ctheta%5Cpi%20r%7D%7B180%7D)
we can have a triangle and we know that there are two angles.
30º and a 45º + 105 =180º angle. applying the sides.
therefore if we have the whole triangle completed we have a constant triangle.
so it tell us we can you’se SOH CAH TOA
we can varrify what kind of triangle we are using.
for example if we were to use Sin I would do
Sin 30/ 2 = sin of 105º/ A = sin=45º/ B
if you would want to solve for sin 30/2 and sin 105, then we solve.
or Sin 30/2 and Sin 105 as well.
with your calculator use sin= 30=.5 and use sin 105º a divide by 1.5 on both sides 1.5= A /sin 105º * 1.5 answer would be 3.86. a is = to 3.86 (Not the answer)
Answer: 8x+24
Step-by-step explanation: