Answer :

The area of the sector of the circle is 12.56 in.²

How to Find the Area of a Sector of a Circle?

Area of a sector of a circle = (θ/2) × r², given that:

r = radius of the circle

∅ = central angle of the sector in radians

Given the following:

Central angle of the sector (∅) = 3.14/4 =

Radius of the circle (r) = 4 in.

π = 3.14

Plug in the values into Area of a sector of a circle:

Area of a sector of a circle = 3.14/4 × 4²

Area of a sector of a circle = 3.14/4 × 16

Area of a sector of a circle = 3.14 × 4

Area of a sector of a circle = 12.56 in.²

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