If AC = 12, what is the area of shaded sector BPC?

The area of the shaded sector BPC is 7π square units.
To find the area of sector BPC, we need to use the formula
A = (θ/360) × πr²,
where
θ is the central angle and
r is the radius
In this case, the central angle BPC is:
180 - 110 = 70 degrees and
the radius PC is:
AC/2 = 6 units
In this case, θ is 70 degrees, and the radius (PC) is 6 units. Now, plug these values into the formula:
Area of Sector = (70/360) * π * (6)²
Calculate the area:
Area of Sector = (7/36) * π * 36
Now, simplify the expression:
Area of Sector = 7π square units
So, the area of the shaded sector BPC is 7π square units.
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7π or 22 unit²
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To find the area of sector BPC, we need to use the formula
where
In this case, the central angle BPC is:
the radius PC is:
Plugging in these values, we get: