A wedding venue has circular tables of diameter 2m.
The bride wants to put ribbon round the edge of each table.
There are 15 tables.
The ribbon is only sold in a whole number of metres and costs £1.25 per metre.
What is the minimum total cost of the ribbon?

To calculate the minimum total cost of the ribbon, let's break down the problem step by step:

### Step 1: Find the circumference of one table
The table is circular with a diameter of 2 meters. The formula for the circumference \(C\) of a circle is:
\[
C = \pi \times d
\]
where \(d\) is the diameter of the circle.

Substitute \(d = 2\) meters:
\[
C = \pi \times 2 = 6.2832 \, \text{meters} \, (\text{approx})
\]

### Step 2: Calculate the total ribbon required for 15 tables
The total ribbon required is the circumference of one table multiplied by the number of tables:
\[
\text{Total ribbon} = 15 \times 6.2832 = 94.248 \, \text{meters}
\]
Since the ribbon is only sold in whole meters, we round this up to the nearest whole number:
\[
\text{Total ribbon to buy} = 95 \, \text{meters}
\]

### Step 3: Calculate the total cost of the ribbon
The ribbon costs £1.25 per meter. Therefore, the total cost is:
\[
\text{Total cost} = 95 \times 1.25 = 118.75 \, \text{pounds}
\]

Thus, the minimum total cost of the ribbon is **£118.75**.

---

Would you like further details on the calculations or any other clarifications?

Here are 5 related questions to explore:
1. How would the cost change if there were 20 tables?
2. What would be the cost if the diameter of the tables was 3 meters instead?
3. How would the cost change if the ribbon was sold in 0.5-meter increments?
4. What is the total area of 15 circular tables with a diameter of 2 meters?
5. If the cost per meter increased to £1.50, how much would the total be?

**Tip:** When working with approximations like \(\pi\), it's useful to round only at the final step to maintain accuracy.

A wedding venue has circular tables of diameter 2m. The bride wants to put ribbon round the edge of each table. There are 15 tables. The ribbon is only sold in a whole number of metres and costs £1.25 per metre. What is the minimum total cost of the ribbon?

Learn how to calculate the minimum cost for ribbon to decorate circular tables with a diameter of 2 meters. This problem uses geometry concepts, including the circumference formula, rounding, and basic multiplication, to find the total cost for 15 tables. Suitable for students in Grades 5-7.

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