Question

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

Answer 1

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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