Math Problem Statement

Find the area of this circle in square centimeters. Use 3.14 for π. Round to 1 decimal place if necessary.

Solution

To find the area of the circle, we use the formula:

Area=π×r2\text{Area} = \pi \times r^2

where:

  • π3.14\pi \approx 3.14
  • rr is the radius of the circle.

From the image, the radius rr is given as 4 cm.

Calculation:

Area=3.14×(4)2\text{Area} = 3.14 \times (4)^2 =3.14×16= 3.14 \times 16 =50.24cm2= 50.24 \, \text{cm}^2

Rounding to one decimal place, the area is:

50.2cm250.2 \, \text{cm}^2

So, the correct answer is 50.2.

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

Here are 5 related questions to expand on this topic:

  1. How would the area change if the radius was doubled?
  2. What is the circumference of this circle using π3.14\pi \approx 3.14?
  3. How is the formula for the area of a circle derived?
  4. How would the area change if we used a more precise value for π\pi, such as 3.14159?
  5. What is the area if the diameter of the circle was given instead of the radius?

Tip: Always remember that the radius is half the diameter, so make sure you’re working with the correct value when calculating area or circumference.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area of a Circle

Formulas

Area = π × r^2

Theorems

Area Formula for Circles

Suitable Grade Level

Grades 6-8