Question

A brooch is crafted from silver wire in the shape of a circle with a diameter of 35 cm. The wire is also used to create 5 diameters, dividing the circle into 10 equal sectors.

37(i) What is the radius of the circle?

Hint:

Keep the radius in fraction form ($\frac{35}{2}$) because it will make calculations in the following parts much simpler, allowing terms to easily cancel out with $\pi = \frac{22}{7}$.

Answer 1

Step 1: Understanding the Question:
We are given that the diameter of the brooch is $35\text{ cm}$. We need to find its radius.

Step 2: Key Formula or Approach:
The radius ($r$) of a circle is half of its diameter ($d$):
\[ r = \frac{d}{2} \]

Step 3: Detailed Explanation:

• 1. Identify the given diameter: $d = 35\text{ cm}$.

• 2. Use the formula:
\[ r = \frac{35}{2} = 17.5\text{ cm} \]


Step 4: Final Answer:
The radius of the circle is $17.5\text{ cm}$ (or $\frac{35}{2}\text{ cm}$).