Question

Find the area of the shaded sector (It is 45 degrees with a radius of 7) Help!!!

Answer 1

Explanation:

The formula for the area of a sector is

`A_(s) =(\theta )/(360)*\pi r^2`

where theta is the angle given as 45 and r is the radius (7). Plugging in we get

`A_(s)=(45)/(360)*\pi  (7)^2`

Simplify a bit to get

`A_(s)=(1)/(8)*49\pi`

which gives you, in terms of pi:

`A_(s)=(49\pi )/(8)`

or if you need to use the decimal form, rounded to the hundredths position:

A = 19.24