Computing Areas X88172

Write a function $area(type,a,b)$ that receives a string $type$ (which may be "rectangle", "triangle", or "circle") and two real numbers $a$ and $b$, and computes the area of the given shape.

• If $type$ is "rectangle", $a$ and $b$ are the width and height of the rectangle, respectively.

• If $type$ is "triangle", $a$ and $b$ are the base and height of the triangle, respectively.

• If $type$ is "circle", $a$ is the radius of the circle, and $b$ is ignored.

Important: Only the function is expected. If you submission includes a main program, it has to be either commented out, or under the condition     if __name__ == "__main__":

Observation

To get the value of $\pi$, add a line with ’import math’ at the top of your file, and then use math.pi when needed.