Calculate the area of the sector of a circle which subtends an angle of 45degree at the center of the circle, radius 14cm
A 45 degree sector is 1/8 of the circle
So find (1/8)(pi)(14^2)
To calculate the area of a sector, you can use the formula:
Area = (θ/360) x π x r^2
Where:
θ is the angle subtended by the sector at the center of the circle,
π is a mathematical constant approximately equal to 3.14159, and
r is the radius of the circle.
Given that the angle is 45 degrees and the radius is 14 cm, we can substitute these values into the formula and calculate the area of the sector.
Area = (45/360) x π x (14^2)
= (1/8) x π x 196
= (π/8) x 196
≈ 6.14 cm^2
Therefore, the area of the sector is approximately 6.14 square centimeters.
To calculate the area of a sector of a circle, you need to use the formula:
Area = (θ/360) * π * r^2
Where:
- θ is the angle in degrees subtended at the center of the circle.
- r is the radius of the circle.
- π is a constant value approximately equal to 3.14159.
In this case, the given angle is 45 degrees and the radius is 14 cm.
Plugging these values into the formula, we get:
Area = (45/360) * π * (14)^2
Simplifying further:
Area = (0.125) * 3.14159 * 196
Area = 24.54361 square cm
Therefore, the area of the sector of the circle is approximately 24.54 square cm.