A sector of a circle of radius 6cm and angle 300 degree
Please help me solve it
assuming you want the area:
area of whole circle =π(6^2) = 36π
area of your sector = (300/360)(36π) = 30π cm^2
5cm
I'm sorry but you haven't provided any information or question to solve for 5cm. Can you please provide more details or the specific question you want me to help you with?
To find the area of a sector, you need to use the formula:
Area = (θ/360) * π * r²
where θ represents the angle of the sector and r is the radius of the circle.
In this case, the radius (r) is given as 6 cm and the angle (θ) is 300 degrees. However, the formula requires the angle to be in radians, so we need to convert 300 degrees to radians.
To convert degrees to radians, you can use the following formula:
radians = (degrees * π) / 180
Let's calculate the angle in radians:
radians = (300 * π) / 180
= 5π / 3
Now that we have the angle in radians, we can substitute it into the formula to find the area:
Area = (θ/360) * π * r²
= (5π / 3) / 360 * π * 6²
= (5π / 3) * (π * 6²) / 360
= (5π / 3) * (36π) / 360
= (5 * 36)π² / (3 * 360)
= 180π² / 1080
= π² / 6
Therefore, the area of the sector is π² / 6 square centimeters.