Find the area of the sector formed by the 60 degree central angle.

503π in2503π in2

103π in2103π in2

100π in2100π in2

None of the Above


Find The Area Of The Sector Formed By The 60 Degree Central Angle503π In2503π In2103π In2103π In2100π In2100π In2None Of The Above class=

Sagot :

The area of the sector of the circle is: A. 50/3π in.².

What is the Area of a Sector of a Circle?

The area of a sector that is bounded by two radii of a circle is calculated using the formula, ∅/360 × πr², where we have the following parameters:

  • r = radius of the circle
  • ∅ = central angle formed by the sector.

Thus, we are given the following regarding the sector of the circle:

Central angle (∅) = 60 degrees

Radius (r) = 10 inches.

Plug in the values into ∅/360 × πr²:

Area of sector = 60/360 × π(10²)

Area of sector = 1/6 × π(100)

Area of sector = 100/6 × π

Area of sector = 50/3 × π

Area of sector = 50/3π in.²

Thus, the area of the sector of the circle is: A. 50/3π in.².

Learn more about the area of sector on:

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