Math Problem Statement

Calculate the area of the circle below. Give your answer to 1 d.p. (Radius = 7.3 cm).

Solution

To calculate the area of a circle, use the formula:

Area=πr2\text{Area} = \pi r^2

From the image, the radius r=7.3cmr = 7.3 \, \text{cm}. Substituting this into the formula:

Area=π(7.3)2\text{Area} = \pi (7.3)^2

  1. Square the radius: 7.32=53.297.3^2 = 53.29

  2. Multiply by π3.1416\pi \approx 3.1416: Area3.1416×53.29=167.352\text{Area} \approx 3.1416 \times 53.29 = 167.352

Rounded to one decimal place: Area167.4cm2\text{Area} \approx 167.4 \, \text{cm}^2

Final Answer:

The area is 167.4 cm².

Would you like a detailed explanation or have any further questions? Here are some follow-up ideas:

  1. How to calculate the area of a circle if the diameter is given instead of the radius?
  2. What is the relationship between the area and the circumference of a circle?
  3. How to calculate the circumference of this circle?
  4. What happens to the area if the radius is doubled?
  5. How is the formula for the area of a circle derived?

Tip: Always double-check your rounding when solving problems requiring decimal precision.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Circles
Area Calculation

Formulas

Area of a circle: A = πr²

Theorems

Properties of circles

Suitable Grade Level

Grades 6-8