Find the area of a sector of a circle if the central angle measures 45° and the radius measures 12 inches. Leave your answer in terms of PI.
A = 1/2 r^2 θ, right?
so plug in your numbers.
As = 45/360 * pi*r^2 = 45/360 * pi*144 = 18pi in.^2.= Sector area.
56.52
To find the area of a sector of a circle, we use the formula:
Area of Sector = (θ/360) * π * r^2
where:
θ is the central angle
π is a mathematical constant approximately equal to 3.14159
r is the radius of the circle
In this case, the central angle is given as 45° and the radius is 12 inches. Substituting these values into the formula, we can calculate the area of the sector:
Area of Sector = (45/360) * π * (12)^2
= (1/8) * π * 144
= π * 18
Therefore, the area of the sector is 18π square inches.