Question

Find the area of the sector.

Answer 1

Answer: C . 147π / 4 mi²

Concept:

The sector is the part of a circle is enclosed by two radii of a circle and their intercepted arc.

A = (θ / 360) πr²

θ = angle of the sector

π = constant

r = radius

Solve:

Given variable

θ = 270°

r = 7 mi

Given formula

A = (θ / 360) πr²

Substitute values into the formula

A = (270 / 360) π (7)²

Simplify exponents

A = (270 / 360) π 49

Simplify by multiplication

A = (147 / 4) π

A = 147π / 4

Hope this helps!! :)

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