Question

A sector of circle C shown below has a radius of 6 centimeters and a central angle that measures 80 degrees. Which expression below correctly calculates the area of this sector in square centimeters

Answer 1

To calculate the area of a sector, use the formula: Area = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle. The correct expression to calculate the area of this sector is 4.2π cm².

Step-by-step explanation:

In order to calculate the area of a sector, you can use the formula: Area = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.

Given that θ = 80 degrees and r = 6 cm, you can substitute these values into the formula:

Area = (80/360) * π * (6 cm)² = 4.2π cm² (to one decimal place)

Therefore, the correct expression to calculate the area of this sector in square centimeters is 4.2π cm².