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?

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

positive

step-by-step explanation:

the quadrant is facing upwards

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1