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

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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 = or ≈ 22