Figure 1 shows a schematic diagram of a hydraulic braking system in a high-performance car.
The brake lines are completely filled with an incompressible hydraulic brake fluid.
When the driver presses the pedal, an input force, FpedalF_{\text{pedal}}Fpedal, is applied to the master cylinder piston, AAA. This transmits pressure through the fluid, resulting in a clamping force, FclampF_{\text{clamp}}Fclamp, exerted by the caliper piston, BBB, onto the brake disc.
The pressure transmitted through the fluid by piston A A\,A is equal to the pressure exerted by the fluid on piston BBB.
Explain, in terms of pressure and area, why the clamping force FclampF_{\text{clamp}}Fclamp is significantly larger than the pedal force FpedalF_{\text{pedal}}Fpedal.