The set designers of a school play need to determine the cost of the gold paper they’ll need to create stars in the shape of the shaded region in the figure below. The gold paper is being sold at Michaels for $2.45 per square centimeter.

The set designers have a $6,000 budget to make these stars. Do they have enough money to make 50 stars?

Yes, they do.

Step-by-step explanation: You have to calculate the area of the star; you do this by calculating the area of the square and subtracting the area of the unshaded parts, which is a quarter of a circle.

Therefore,

15^2 - pi * 7.5^2 = 48.28541324 cm squared

Multiply this answer by $2.45 for one star:

Equals $118.2992624

Multiply by 50,

Equals $5,914.96

Since this is less than $6,000 they have enough money to make 50 stars