Mathematics

Mathematics

Problem

Three regions are defined in the first quadrant by pairs of concentric circles in polar form. • Region

A

: between

r=2

and

r=4

for

0\le\theta\le\frac{\pi}{2}

• Region

B

: between

r=3

and

r=4

for

0\le\theta\le\frac{\pi}{2}

• Region

C

: between

r=2

and

r=4

for

0\le\theta\le\frac{\pi}{4}

Rank the areas of the three regions from largest to smallest. a)

A > C > B

b)

C > A > B

c)

A > B > C

d)

B > A > C

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