No idea on the arc of travel but pilot reports I have read described the lever as "very light to operate" and "similar to using a bicycle brake lever" .
I also do not the believe the lever was just an on or off affair, varying pressure on the lever varied the amount of braking. A long throw would give more precision when braking.
By all accounts almost no pressure was required to operate the brakes. Braking on the ground and turning in a Spitfire was regarded as much easier than the same manoeuvres in US aircraft with pedal brakes.
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