suppose a pizza slice is a circle sector with a 24 angle and a radius of 15 inches. If a can of pizza sauce will cover 94 square inches of pizza, how many cans of sauce are needed to cover this slice?

24/360 = .06666666..... or 1/15

That is the fraction of the pizza in this slice.
Area of whole pizza = pi r^2 = 225 pi
So area of this slice = 225 pi/15 = 15 pi square inches. That is about 47.12 inches sq
so it will take
47.12/94 = about half a can

To find the area of the pizza slice, we need to use the formula for the area of a sector of a circle. The formula is given by:

Area = (θ/360) * π * r^2

where θ is the angle of the sector, π is a mathematical constant (approximately 3.14159), and r is the radius of the circle.

In this case, the angle θ is 24 degrees (since it's mentioned in the question), the radius r is 15 inches, and we know that the area to be covered is 94 square inches.

Using the formula, we can substitute the values:

Area = (24/360) * π * 15^2

Calculating this expression,

Area ≈ (0.0667) * (3.14159) * (225)
Area ≈ 47.1239 square inches

So the area of the pizza slice is approximately 47.1239 square inches.

To find the number of cans needed to cover this area, we divide the total area that can be covered by one can of sauce (94 square inches) by the area of the pizza slice:

Number of cans = (Area of pizza slice) / (Area covered by one can of sauce)

Number of cans ≈ 47.1239 / 94
Number of cans ≈ 0.5 cans

Therefore, approximately 0.5 (or half) a can of sauce is needed to cover this particular pizza slice.