Answer:
Step-by-step explanation:
The formula for the area of a sector is
[tex]A_{s} =\frac{\theta }{360}*\pi r^2[/tex]
where theta is the angle given as 45 and r is the radius (7). Plugging in we get
[tex]A_{s}=\frac{45}{360}*\pi (7)^2[/tex]
Simplify a bit to get
[tex]A_{s}=\frac{1}{8}*49\pi[/tex]
which gives you, in terms of pi:
[tex]A_{s}=\frac{49\pi }{8}[/tex]
or if you need to use the decimal form, rounded to the hundredths position:
A = 19.24
