https://file.aiquickdraw.com/mathbot/file/1726027961397p7x4kybb.jpg

Let's go through the problem step-by-step and correct any mistakes.

### Problem Summary
- A hole needs to be cut to fit a bathroom basin with a diameter of 370 mm.
- Given \(\pi = 3.1416\).

#### Part (a): Radius of the Hole

The formula for the radius of a circle is:
\[
\text{radius} = \frac{\text{diameter}}{2}
\]

Given:
\[
\text{diameter} = 370 \, \text{mm}
\]

Calculating the radius:
\[
\text{radius} = \frac{370}{2} = 185 \, \text{mm}
\]

**Correct Answer: 185 mm.**

#### Part (b): Circumference of the Hole

The formula for the circumference of a circle is:
\[
C = \pi \times \text{diameter}
\]

Given:
\[
\pi = 3.1416, \quad \text{diameter} = 370 \, \text{mm}
\]

Calculating the circumference:
\[
C = 3.1416 \times 370 = 1162.392 \, \text{mm}
\]

The calculation in the image mistakenly used the radius (185 mm) instead of the diameter (370 mm). The corrected answer for the circumference is **1162.392 mm**.

#### Part (c): Area of the Hole

The formula for the area of a circle is:
\[
A = \pi \times r^2
\]

Given:
\[
\pi = 3.1416, \quad r = 185 \, \text{mm}
\]

Calculating the area:
\[
A = 3.1416 \times 185^2 = 3.1416 \times 34225 = 107,717.76 \, \text{mm}^2
\]

There was a small rounding mistake in the image. The corrected answer is **107,717.76 mm²**.

### Final Corrections:
- **(a) Radius:** 185 mm (Correct)
- **(b) Circumference:** 1162.392 mm
- **(c) Area:** 107,717.76 mm²

Would you like further details or have any questions?

### Related Questions:
1. How do you find the diameter if only the circumference is given?
2. What is the formula to convert the area from mm² to cm²?
3. How do you calculate the volume of a cylinder with a given base radius and height?
4. What is the significance of \(\pi\) in geometry?
5. How do you find the area of a sector of a circle?

**Tip:** Always ensure to use the correct values (like diameter or radius) for the formulas to avoid calculation mistakes!

You need to cut a hole to fit a bathroom basin. The hole is 370mm in diameter. What is the radius, circumference, and area of the hole? Provide the formulas and calculations.

Learn how to calculate the radius, circumference, and area of a circle with a diameter of 370mm. This problem involves geometry concepts and circle properties, including key formulas for radius, circumference, and area. Suitable for students in Grades 6-8.

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