Math Problem Statement

The radius of the circle below is 22 mm. Calculate the area of the circle. Give your answer to 1 d.p.

Solution

To calculate the area of the circle with a radius of 22 mm, we can use the formula for the area of a circle:

Area=πr2\text{Area} = \pi r^2

Where:

  • π3.1416\pi \approx 3.1416
  • rr is the radius, which is 22 mm.

Now, substituting the values:

Area=π×(22)2=3.1416×484=1520.531mm2\text{Area} = \pi \times (22)^2 = 3.1416 \times 484 = 1520.531 mm^2

Rounding the answer to 1 decimal place:

Area1520.5mm2\text{Area} \approx 1520.5 \, \text{mm}^2

So, the area of the circle is approximately 1520.5 mm².

Would you like more details on this or have any questions?

Here are 5 related questions to expand your knowledge:

  1. How does the formula for the area of a circle change if you know the diameter instead of the radius?
  2. What is the circumference of a circle with a radius of 22 mm?
  3. How would the area change if the radius were doubled?
  4. What is the relation between the area and the circumference of a circle?
  5. How do you calculate the area of a sector of a circle?

Tip: Always check your units when calculating area or other geometric properties. Consistent units ensure accurate results!

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Math Problem Analysis

Mathematical Concepts

Geometry
Area of a Circle

Formulas

Area = πr²

Theorems

Area of Circle Theorem

Suitable Grade Level

Grades 6-8