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

The graph is a convex limacon.

Step-by-step explanation:

Polar equation is defined as

and

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

Here b=4 and a=2.

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

step-by-step explanation: