Find the area of the sectors in a circle of radius 10cm where the angles at the centre are; 60 degrees
As=(60/360) * Ac = (60/360) * 3.14*10^2=
52.33 cm^2.
To find the area of a sector in a circle, we can use the formula:
Area of Sector = (θ/360) * π * r^2
Where:
- θ is the central angle of the sector
- π is a mathematical constant approximately equal to 3.14159
- r is the radius of the circle
Given that the radius (r) is 10 cm and the central angle (θ) is 60 degrees, we can substitute these values into the formula:
Area of Sector = (60/360) * π * 10^2
Now we can simplify the equation:
Area of Sector = (1/6) * π * 100
The area of the sector is approximately equal to:
Area of Sector ≈ 52.36 cm²
Therefore, the area of the sector with a central angle of 60 degrees in a circle with a radius of 10 cm is approximately 52.36 cm².
To find the area of a sector in a circle, you need to know the radius of the circle and the measure of the central angle. In this case, the radius of the circle is given as 10 cm and the angle at the center is 60 degrees.
To find the area of the sector, you can use the formula:
Area of sector = (θ/360) * π * r^2
Where:
θ is the measure of the central angle
π is a constant approximately equal to 3.14159
r is the radius of the circle
Let's plug in the values:
θ = 60 degrees
r = 10 cm
Area of sector = (60/360) * 3.14159 * (10)^2
Simplifying further:
Area of sector = (1/6) * 3.14159 * 100
Area of sector = 52.35988 square cm (rounded to 2 decimal places)
So, the area of the sector in a circle with a radius of 10 cm and a central angle of 60 degrees is approximately 52.36 square cm.