The Alyssa will spend $14.915 for wrap a ribbon around the gift, if a ribbon costs $0.50 per inch.
Explanation:
The given is,
A circular gift has a 4.75 inch radius
Ribbon that costs $0.50 per inch
Step:1
Formula to calculate the perimeter of circle,
......................(1)
Where, r - Radius of circle
From the given,
r = 4.75 inches
Equation (1) becomes,
![P = 2 (\pi )(4.75)](https://img.qammunity.org/2021/formulas/mathematics/college/lbchlsu48uiiwaf4v95dceeqw8tvalqy2u.png)
(∵
= 3.14)
![=2(14.915)](https://img.qammunity.org/2021/formulas/mathematics/college/putqrdobpydgn0apjm5um6oks8nclu74km.png)
![=29.83](https://img.qammunity.org/2021/formulas/mathematics/college/i5gytgbiopl405k97i4jxq89aiyjgiv0y2.png)
Perimeter, P = 29.83 inches
Step:2
Cost for wrap the ribbon to around the circular gift,
= Perimeter of circular gift × ribbon cost per inch
= (29.83 × 0.50)
= $14.915
Cost for wrap the ribbon to around the circular gift = $14.915
Result:
The Alyssa will spend $14.915 for wrap a ribbon around the gift, if a ribbon costs $0.50 per inch.