Question

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

Answer 1

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:

`104.72cm^2.`