Answer :
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
==========
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
Plugging in these values, we get:
- A = (70/360) × π × 6²
- A = 7/36 × π × 36
- A = 7π or ≈ 22
