Answer:
The radius of the pie is 6.17 in.
Step-by-step explanation:
The formula for arc length as a function of radius is
s = r·Ф, where Ф is the central angle in radians.
Here we know that the arc length is 7.85 in. Assuming that the whole pie has been cut into 8 equal pieces, the central angle of one such piece is
2π / 8, or π /4 (radians).
thus, s = r·Ф, solved for r, is r = s/Ф
and in this instance r = (7.85 in)/(π/4). Evaluating this, we get:
r = 6.17 in
The radius of the pie is 6.17 in.
9 plus How many sides nine times
Answer:
x = 3
y = -1
Step-by-step explanation:
(x-y) + (x+y) = 4 + 2
2x = 6
x = 3
sub x=3 into x+y=2
3+y=2
y=2-3
y=-1
Check by subbing x=3 and y=-1 into x-y=4
(3)-(-1) = 3+1 = 4