Find the area of a sectorwith a central angle 0f 190degree and a diameter of 5.1cm.
Can someone please help?
Ac = pi*r^2 = 3.14*(5.1/2)^2 20.42 cm^2
= Area of circle.
As = (190/360)*20.42 = 10.78 cm^2. = Area of sector.
To find the area of a sector, you can use the formula:
Area = (θ/360) * π * r^2
where θ represents the central angle and r represents the radius of the circle.
In this case, the central angle is 190 degrees, and the diameter is given as 5.1 cm. To find the radius, we can divide the diameter by 2.
Radius (r) = Diameter / 2 = 5.1 cm / 2 = 2.55 cm
Now we can substitute the values into the formula:
Area = (190/360) * π * (2.55 cm)^2
Simplifying further:
Area = (19/36) * π * (2.55 cm)^2
Area ≈ 3.221 cm^2
Therefore, the area of the sector is approximately 3.221 square centimeters.