from math import acos, sqrt, pi

def sgn(x):
	if x > 0:
		return 1
	elif x == 0:
		return 0
	else:
		return -1
def circ(r):
	return pi*r**2
def usec(r, d):
	if d >= r:
		return 0
	elif d <= -r:
		return circ(r)
	else:
		return r**2*acos(d/r)-d*sqrt(r**2-d**2)
def ang(ax, ay, vx, vy, bx, by):
	return acos(((ax-vx)*(bx-vx)+(ay-vy)*(by-vy)) / (sqrt((ax-vx)**2+(ay-vy)**2)*sqrt((bx-vx)**2+(by-vy)**2)))
def orobs(ax, ay, bx, by, cx, cy):
	return 0.5*((bx-ax)*(cy-ay) - (cx-ax)*(by-ay))
def mainroh(r, xt, yt):
	uy = sqrt(r**2-xt**2)*sgn(yt) - yt
	vx = sqrt(r**2-yt**2)*sgn(xt) - xt
	thet = ang(0,uy,-xt,-yt,vx,0)
	return (thet/2)*r**2 - orobs(-xt,-yt,vx,0,0,0) - orobs(-xt,-yt,0,0,0,uy)

#def rohsec(r, xt, yt):
#	if r <= yt or r <= xt:
#		return 0
#	if abs(xt) < r:
#		if abs(yt) < r:
#			return mainroh(R, xt, yt)
#		else:
#			return usec(r, xt)
#	else:
#		if abs(yt) < r:
#			return usec(r, yt)
#		else:
#			return circ(r)	

def rohsec(r, xt, yt):
	if xt-r < 0 < xt+r:
		if yt-r < 0 < yt+r:
			if xt**2+yt**2 < r**2:
				return mainroh(r, xt, yt)
			else:
				if xt <= 0:
					if yt <= 0:
						return circ(r)-usec(r,-yt)-usec(r,-xt)
					else:
						return usec(r, yt)
				else:
					if yt <= 0:
						return usec(r, xt)
					else:
						return 0
		else:
			if yt <= 0:
				return usec(r, xt)
			else:
				return 0
	else:
		if yt-r < 0 < yt+r:
			if xt <= 0:
				return usec(r, yt)
			else:
				return 0
		else:
			if xt <= 0 and yt <= 0:
				return circ(r)
			else:
				return 0
			
X, Y, R, Ax, Ay, Bx, By = tuple(int(v) for v in input().split(" "))
Dokraj, Hokraj = sorted([Ay, By])
Lokraj, Pokraj = sorted([Ax, Bx])
#print(Hokraj, Pokraj, Dokraj, Lokraj)

L = X - Lokraj
P = Pokraj - X
H = Hokraj - Y
D = Y - Dokraj
#print(H, P, D, L)

base = circ(R)
ar1 = usec(R, H) 
ar2 = usec(R, P)
ar3 = usec(R, D) 
ar4 = usec(R, L)

ar5 = rohsec(R, P, H)
ar6 = rohsec(R, P, D)
ar7 = rohsec(R, L, D)
ar8 = rohsec(R, L, H)

print(base)
print(ar1,ar2,ar3,ar4)
print(ar5,ar6,ar7,ar8)

print("------")

final = base - (ar1+ar2+ar3+ar4) + (ar5+ar6+ar7+ar8)
final = abs(final)

print("%.4f" % final)