Answer:
Step-by-step explanation:
The formula for the area of a sector is
[tex]A=\frac{\theta}{360}*\pi r^2[/tex] where θ is the measure of the central angle and r is the radius.
Our central angle is a right angle and the radius is 4, so filling in the formula looks like this:
[tex]A=\frac{90}{360}*\pi (4)^2[/tex] and
[tex]A=\frac{1}{4}*\pi (16)[/tex]
16 divides by 4 evenly, so
A = 4π.in²
If we multiply 4 by the value of π and then round, that number, to the nearest hundredth, is
A = 12.57 in²
