Answer:
56.52 units² or 18π units²
Step-by-step explanation:
The formula for the area of a sector is:
A = πr²(x/360°)
where r is the radius and x is the measure of the central angle
Let's substitute the given measures into this equation:
A = πr²(x/360°)
A = (3.14)(12²)(45/360)
Solve:
A = (3.14)(12²)(45/360)
A = (3.14)(144)(45/360)
A = (452.16)(45/360)
A = (452.16)(.125)
A = 56.52
Therefore, the area of the sector is 56.52 units² or 18π units²
