Find the radius of a circle in which the central angle, a, intercepts an arc of the given length s. a = 156°, s = 25 km

Radius of the circle is 9.178

Step-by-step explanation:

Given that,

Central angle ,a = 156°

Arc length,s =25 km

The formula to calculate the radius of a circle is;  

Arc length= Θ / 360° x  (2πr)

We are given that the Θ =20° and that arc length is 66 in. Substituting, we have;

L = Θ / 360°  x (2πr)

25 = (156  / 360°) x 2 x 22/7 x r

25 = 6864r / 2520

r= (2520 x 25) / 6864

r= 63000 / 6864

r =  9.178

the answer is (-8,-5)

step-by-step explanation:

the endpoint to midpoint is half the length. the length is (-2,-1) so when you are at the midpoint just add it to it to find your answer -6+(-2)= -8 and -4+(-1)=-5 so (-8,-5)