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The circle shown with radius 44 has a sector with a central angle of π\pi radians. What is the area of the sector?

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Full solution

Q. The circle shown with radius 44 has a sector with a central angle of π\pi radians. What is the area of the sector?
  1. Identify values: Identify the values given in the problem: radius r=4r = 4, central angle θ=π\theta = \pi radians.
  2. Recall formula: Recall the formula for the area of a sector: A=(12)×r2×θA = (\frac{1}{2}) \times r^2 \times \theta.
  3. Substitute values: Substitute the given values into the formula: A=(12)×42×πA = (\frac{1}{2}) \times 4^2 \times \pi.
  4. Calculate area: Calculate the area: A=(12)×16×π=8πA = (\frac{1}{2}) \times 16 \times \pi = 8\pi.

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