find the area of the sector with 80 degree angle and radius=8
Area = 1/2 r² θ
Sound familiar? The whole circle has 2π radians, so the area = 1/2 * 2π r^2 = πr^2
Anyway, you have 80°, which is 80*/360 * 2π = 2π/9
So, the area is 1/2 * 2π/9 * 8² = 22.34
To find the area of a sector, you can use the formula:
Area of Sector = (θ/360) * (π * r^2),
where θ is the angle in degrees and r is the radius.
In this case, the angle θ is 80 degrees and the radius r is 8. Plugging these values into the formula, we can calculate the area of the sector.
Area of Sector = (80/360) * (π * 8^2)
= (2/9) * (π * 64)
= (2/9) * 201.0625
= 44.4583 square units (rounded to four decimal places).
Therefore, the area of the sector with an 80-degree angle and radius 8 is approximately 44.4583 square units.