The shaded area is 113.00 square mm
How to determine the shaded area?
The diameter of the semicircle is given as:
d = 24 mm
Start by calculating its area using:
A = 0.5π(d/2)²
This gives
A = 0.5π(24/2)²
Evaluate
A = 226.29
Next, calculate the radius of the circle using:
r = d/4
So, we have:
r = 24/4
r = 6
The circle area is calculated as:
a = πr²
So, we have:
a = π * 6²
Evaluate
a = 113.14
The shaded area is then calculated using:
Shaded = A - a
This gives
Shaded = 226.29 - 113.14
Evaluate
Shaded = 113.15
Approximate
Shaded = 113.00
Hence, the shaded area is 113.00 square mm
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