The diagram shown two arcs, A and B. Arc A is part of the circle with centre `O` and radius `O P` . Arc `B` is part of the circle with centre `M` and radius `P M` , where is the mid-point of PQ. Show that the area enclosed by the two arcs is equal to `25(sqrt(3)-pi/6)c m^2`

Explanation

To find the area enclosed by the two arcs A and B, we will follow these steps:

### Step 1: Determine the areas of the circles
1. **Identify the radius of each arc**:
- Arc A has a radius \( OP = 10 \, \text{cm} \).
- Arc B has a radius \( PM = 5 \, \text{cm} \).

2. **Calculate the area of the semicircle for Arc A**:
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