Question

In circle N with m
See diagram below

Answer 1

`113.10`

Explanation:

The area of a sector with measure
`\theta` and radius
`r` is given by
`A_(sec)=r^2\pi\cdot (\theta)/(360^(\circ))`.

What we're given:

• 
  `r` of 12
• 
  `\theta` of
  `90^(\circ)`

Substituting given values, we get:

`A_(sec)=12^2\pi\cdot (90)/(360),\\\\A_(sec)=144\pi\cdot (1)/(4),\\\\A_(sec)\approx \boxed{113.10}`