1979 AHSME Problems/Problem 8
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Problem 8
Find the area of the smallest region bounded by the graphs of and
.
Solution
Solution by e_power_pi_times_i
The graph of is a circle with radius
centered at the origin. The graph of
is the combined graphs of
and
with a nonnegative y. Because the arguments of
and
are
and
respectively, the angle between the graphs of
and
is
. Thus, the smallest region bounded by the graphs is
.
See also
1979 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 7 |
Followed by Problem 9 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 | ||
All AHSME Problems and Solutions |
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