Math Problem Statement

The radius of the circle is 27 mm. Calculate the area of the circle. Give your answer to 1 decimal place.

Solution

The problem in the image asks to calculate the area of a circle given that the radius is 27 mm, and to give the answer to 1 decimal place.

The formula for the area AA of a circle is:

A=πr2A = \pi r^2

Where:

  • rr is the radius, and
  • π\pi is approximately 3.14159.

Given that the radius r=27mmr = 27 \, \text{mm}, we can substitute this into the formula:

A=π(27)2=π×7293.14159×729=2290.22mm2A = \pi (27)^2 = \pi \times 729 \approx 3.14159 \times 729 = 2290.22 \, \text{mm}^2

Thus, the area of the circle is approximately 2290.2 mm² when rounded to 1 decimal place.

Would you like more details or have any other questions? Here are five related questions to consider:

  1. What is the area of a circle if the radius is doubled?
  2. How would the area change if the radius were halved?
  3. How do we calculate the circumference of a circle using the radius?
  4. Can you find the area of a sector if the angle is 90° and the radius is 27 mm?
  5. How is the concept of area applied in real-life problems involving circles?

Tip: Always square the radius before multiplying by π\pi to avoid common mistakes when calculating the area of a circle!

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Math Problem Analysis

Mathematical Concepts

Geometry
Area of a Circle

Formulas

Area of a circle formula: A = πr^2

Theorems

Area of a Circle

Suitable Grade Level

Grades 6-8