To calculate the length of the arc and the area of the sector, we can use the formulas:
1. Length of the arc (L):
L = (θ/360°) * 2πr
2. Area of the sector (A):
A = (θ/360°) * πr^2
where:
- - θ is the angle of the sector in degrees (150° in this case),
- - r is the radius of the circle (21 cm).
Now let's calculate the length of the arc and the area of the sector :
To find the length of the arc (L), we substitute the given values into the formula:

To find the area of the sector (A), we use the formula:

Simplifying the calculations, we get:



Now you can substitute the numerical values and compute the results using a calculator.

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