In this worksheet, we will practice calculating the area of the region enclosed by a polar curve and finding the area of a region bounded by two polar curves.

**Q1: **

Find the area of the region enclosed by one petal of .

- A
- B
- C
- D
- E

**Q2: **

Find the area of the region that lies inside the polar curve but outside the polar curve .

- A
- B
- C
- D
- E

**Q3: **

Consider the polar curve . Find the area of the region inside its larger loop but outside its smaller loop.

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- B
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- E

**Q4: **

Find the area of the region bounded by the polar curve .

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- D
- E

**Q5: **

Find the area of the region below the polar axis and enclosed by .

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- B
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- E

**Q6: **

Find the area inside both and .

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- D
- E

**Q7: **

Find the area of the region enclosed by the inner loop of .

- A
- B
- C
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- E

**Q8: **

Find the area of the region that lies inside the polar curve but outside the polar curve .

- A2
- B
- C4
- D
- E

**Q9: **

Find the area of the region inside both and .

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- D
- E

**Q10: **

Find the area of the region enclosed by .

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- E

**Q11: **

Find the area of the region inside and outside .

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- E

**Q12: **

Find the area of the region bounded by the polar curve , where .

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- E

**Q13: **

Find the area of the region that lies inside both the polar curve and the polar curve .

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- E

**Q14: **

Find the area enclosed by the loop of the right strophoid .

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- D
- E

**Q15: **

Find the area of the region enclosed by the inner loop of the polar curve .

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- B
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- D
- E

**Q16: **

Find the area of the region that lies inside the circle but outside the cardioid .

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- B
- C
- D
- E

**Q17: **

Find the area of the region that lies inside the polar curve but outside the polar curve .

- A
- B
- C
- D
- E

**Q18: **

Find the area of the region enclosed by one loop of the polar curve .

- A
- B
- C
- D
- E

**Q19: **

Find the area inside the circle and outside the circle .

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- B
- C
- D
- E

**Q20: **

Find the area of the region enclosed by one loop of the polar curve .

- A
- B
- C
- D
- E

**Q21: **

Find the area of the region bounded by the polar curve , where .

- A
- B
- C2
- D
- E

**Q22: **

Find the area of the region common to the interior of and .

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- B
- C
- D
- E

**Q23: **

Find the area of the region enclosed by one petal of .

- A
- B
- C
- D
- E

**Q24: **

Find the area enclosed by one loop of the rose with polar equation .

- A
- B
- C
- D
- E1

**Q25: **

Find the area of the region enclosed by the polar curve .

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- D
- E