Jenny's pizza is circular and has a 30 cm radius. Her slice creates an arc with a central angle of 120°. What is the area of Jenny's slice of pizza?

Answer: the area of Jenny's slice of pizza is 942 cm²

Step-by-step explanation:

Since the pizza is circular, a slice of the pizza represents a sector of a circle. To determine the area of the slice, we would apply the formula for determining the area of a sector which is expressed as

Area of sector = θ/360 * πr²

Where

θ represents the central angle.

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

Radius, r = 30 cm

θ = 120 degrees

Area of sector = 120/360 * 3.14 * 30²

= 942 cm²