For each of the described curves, decide if the curve would be more easily given by a polar...
Question:
For each of the described curves, decide if the curve would be more easily given by a polar equation or a Cartesian equation. Then write an equation for the curve.
(a) A circle with radius {eq}5 {/eq} and center {eq}(2,\ 3) {/eq}.
(b) A circle centered at the origin with radius {eq}4 {/eq}.
Circle:
The standard equation of a circle in the polar form with the center at origin and radius as {eq}b {/eq} units is {eq}r=b {/eq}.
On the other hand, the standard equation of a circle with center at the origin and radius as {eq}a {/eq} units is {eq}x^2+y^2=a^2. {/eq}
Answer and Explanation: 1
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View this answer(a) A circle with radius {eq}5 {/eq} and center {eq}(2,\ 3) {/eq}.
As we know that the standard form of a circle in cartesian coordinates with the...
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Circle Definition: Lesson for Kids
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Chapter 2 / Lesson 12
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Discover the definition of a circle and some interesting properties of this two-dimensional shape. Learn about its dimensions, center point, and curve. Finally, explore real-world examples of circles with a fun scavenger hunt.
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