Find the area of the sector of a circle that has a central angle of 30 degrees and a radius of 20cm. Round your answer to the nearest hundredth.The area is Answercm^2

Question

asked Oct 21, 2023 162k views

1 Answer

Vipin Gupta · Answer 1 · 2023-10-28T02:16:39+0000

To solve this problem, we will use the following formula for determining the area of a sector:

$A=(\theta)/(360)*\pi r^2,$

where r is the radius of the circle, and θ is the central angle in degrees.

Substituting r= 20 cm, and θ=30 in the above formula, we get:

$A=(30)/(360)*\pi(20cm)^2.$

Simplifying, we get:

$A\approx104.72cm^2.$

Answer: