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balu736 [363]
3 years ago
12

What type of limacon is graphed by the polar equation r=4+2sinttheta?

Mathematics
2 answers:
sergiy2304 [10]3 years ago
8 0
The type of limacon graphed is a convex.
nydimaria [60]3 years ago
6 0

Answer:

The graph is a convex limacon.

Step-by-step explanation:

Polar equation is defined as

r=b+a\sin \theta and r=b+a\cos \theta

Types of limacon:

1. If b < a, then graph is a limacon with and inner loop.

2. If a < b < 2a, then graph is a dimpled limacon.

3. If 2a ≤ b, then graph is a convex limacon.

The given equation is

r=4+2\sin \theta

Here b=4 and a=2.

2a=2(2)=4=b

2a=4

2a=b            [\because b=4]

Since 2a ≤ b, therefore the graph is a convex limacon.

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