Since the user has not specified which problems to solve and the image contains 10 separate problems, I will solve the first problem as an example to demonstrate how to approach these types of questions.
Problem 1:
Mike purchases a round-shaped cake. The clock's radius is 10 in. What is the circumference of the deck?
*Note: There is a typo in the original worksheet text. It says "The clock's radius is 10 in" and asks for the "circumference of the deck". Based on context, it clearly means the cake's radius is 10 inches and it is asking for the circumference of the cake.*
Step-by-Step Solution:
1.
Identify the given information:
* Shape: Round (Circle)
* Radius ($r$) = 10 inches
2.
Identify what needs to be found:
* Circumference ($C$)
3.
Recall the formula for Circumference:
* There are two common formulas:
* $C = \pi \times d$ (where $d$ is diameter)
* $C = 2 \times \pi \times r$ (where $r$ is radius)
* Since we have the radius, we will use $C = 2 \times \pi \times r$.
4.
Substitute the values into the formula:
* $C = 2 \times 3.14 \times 10$ (Using 3.14 for $\pi$ as instructed in the worksheet header)
5.
Calculate:
* $2 \times 10 = 20$
* $20 \times 3.14 = 62.8$
6.
Final Check:
* Does the answer make sense? The radius is 10, so the diameter is 20. The circumference should be a little more than 3 times the diameter ($3 \times 20 = 60$). Our answer is 62.8, which fits perfectly.
Final Answer: 62.8 in
Parent Tip: Review the logic above to help your child master the concept of find the area and circumference of a circle worksheet.
