Q: radial wipe

Yes, there are many ways.  The  method you use may depend on your overall composition.

The easiest way is to apply a circle mask to the layer you want to reveal and animate the mask radius from 0 to the size you need to reveal the element it is applied to.   You can do the animation with keyframes or with a behavior.  You can also add feathering from the Mask controls if you want a soft edge.  Another way to do this is to use an image mask.  The idea is roughly the same, you select the layer you want to reveal and add the image mask (shift-m).  You would then create a circle shape and drag it into the image well for the image mask in the inspector, or just drag the circle layer in the layer list on to the image mask in the layer list.  The circle will be disabled (hidden).  In this case you would animate the circle layer to control the mask. Scale the circle layer and adjust the circle feather parameter to get the animation and look you want.

No problem.  Here's an example using a 2 second (30fps) transition  To create a radial gradient wipe, first make a gradient layer.  You could use a shape or a generator, I prefer the later for this.  I also prefer to make sure the source is also square, slightly larger than the canvas.  Start by making a white to black gradient that goes from left to right.  Next you will animate the gradient. On the first frame of layer select each of the gradient tags and set a keyframe for the location parameter.  Now go to the point where you want the animation to end and set another keyframe for the location. For my example, this is frame 60.  Go back to the first frame, select the black tag and set the Location to 1%.  Next go forward several frames, I started with 10.  Select the white tag and add another keyframe for location, but don't change the value.  Now go to the last keyframe and with the white tag still selected, change the location to 99.9%.

You should now have a gradient that animates from black to white across your screen.  Apply the "Polar" filter to this and it will wrap in a clockwise circle.  This will be the source for your Image mask.  Apply an image mask to the layer you want to reveal, Apply the gradient layer as the source and set the Image Mask "Source Channel" to  "Luminance"

You can adjust the timing by repositioning the keyframes.

When all else fails...

https://vimeo.com/171420610

One thing you will see in this video is that you see the checkerboard revealed at the beginning of the transition.  This is not a big deal because it would be the first frame for the element you want to reveal, just make sure to position the layers correctly in time (see my image below. To finish this off, you can leave the keyframes positioned at the beginning of the clip.  You would trim the end of the image mask gradient and filter layers to the last keyframe. This just makes things more clean in the timeline.  Finally you would make sure the end of the layer you are wiping away from overlaps the transition range for the wipe.

Try again. I think it was still converting.