Get the solution to "The graph of a polar equation is given...."

High School
Geometry
High school geometry
Circles

Phoebe

Answered question

2021-09-24

The graph of a polar equation is given. Select the polar equation for graph from the following options.

r = 2 \sin θ, r = 2 \cos θ, r = 1 + \sin θ

r = 1 - \sin θ, r = 3 \sin 2 θ, r = 3 \sin 3 θ

Answer & Explanation

delilnaT

Skilled2021-09-25Added 94 answers

Step 1

The graph of a polar equation is given. Select the polar equation for graph from the following options.

Step 2

From the given graph, it is in the form of a circle. Since the graphs of $r = a \cos θ and r = a \sin θ$ are circles, it can be concluded that the possible options that matches with the general forms are $r = 2 \cos θ and r = 2 \sin θ$ . At $θ = 0$ , the value $r = 0$ . At $θ = \frac{π}{2} 2$ , the value $r = 2$ . The only equation $r = 2 \sin θ$ satisfies the above condition. Hence, the polar equation for graph is $r = 2 \sin θ$ .

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