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!! :)
Please let me know if you have any questions
