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Mathematics
Problem
Two sectors have equal areas. Sector P is in a circle of radius
r
1
r_1
r
1
cm and has a central angle of
120
∘
120^\circ
12
0
∘
. Sector Q is in another circle of radius
r
2
r_2
r
2
cm and has a central angle of
90
∘
90^\circ
9
0
∘
. Determine the ratio
r
1
:
r
2
r_1 : r_2
r
1
:
r
2
.
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