Question

In a circle whose radius is 12, find the area of sector, in terms of , whose central angle

measures 45°

Answer 1

56.52 units² or 18π units²

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