Let D be the region between the circles of radius 6 and radius 8 centered at the

Anonym 2021-09-25 Answered
Let D be the region between the circles of radius 6 and radius 8 centered at the origin that lies in the third quadrant.
Express D in polar coordinates.
Select the correct answer below:
1) D={(r,θ)6r8,0θπ2}
2) D={rθ)6r8,πθ3π2}
3) D={(r,θ)0r8,πθ3π2}
4) D={(r,θ)6r8,πθ2π}
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Expert Answer

dessinemoie
Answered 2021-09-26 Author has 90 answers
Given:let D be the region between the circles of radius 6 and 8 centered at the origin that lies in the third quadrant express D in polar coordinates.
Here the region D is between the circles with radius r=6,r=8 centered at the origin
that is 6r8 and that lies in quadrant 3
So,
πθ3π2
Therefore,
D={(r,)6r8,π≤∴≤3π2}
Therefore the 2 nd option is the correct one
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