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# help

0
108
1

Let $$S$$ be the set of points with polar coordinates $$(r,\theta)$$ such that $$2 \le r \le 6$$and $$\frac{\pi}{3} \le \theta \le \frac{5 \pi}{6}$$. Find the area of $$S$$.

Nov 15, 2019

#1
+109563
+1

pi/3 =  60°

5pi/6 =  150°

150 - 60   =  90°

So....this  is  just  the area  between a quarter-circle with a radius of 6 and a quarter-circle with a radius of 2

So  S  =

(pi/4)   [ 6^2 - 2^2 ] =

(pi /4 ) [ 32]  =

8 pi units^2

Nov 15, 2019
The text passage contains a mathematical question about finding the area of a set of points defined by polar coordinates, and an answer to that question is provided in the text.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
+0

# help

0
108
1

Let $$S$$ be the set of points with polar coordinates $$(r,\theta)$$ such that $$2 \le r \le 6$$and $$\frac{\pi}{3} \le \theta \le \frac{5 \pi}{6}$$. Find the area of $$S$$.

Nov 15, 2019

#1
+109563
+1

pi/3 =  60°

5pi/6 =  150°

150 - 60   =  90°

So....this  is  just  the area  between a quarter-circle with a radius of 6 and a quarter-circle with a radius of 2

So  S  =

(pi/4)   [ 6^2 - 2^2 ] =

(pi /4 ) [ 32]  =

8 pi units^2

Nov 15, 2019
user
The text passage contains a mathematical question about finding the area of a set of points defined by polar coordinates, and an answer to that question is provided in the text.

TYPE: SINGLE_QUESTION_WITH_ANSWER