Math Problem Statement

Calculate the area of the circle below. Give your answer to 1 decimal place. The radius is 7.3 cm.

Solution

To calculate the area of the circle given its radius, we use the formula:

Area=πr2\text{Area} = \pi r^2

Given:

  • r=7.3cmr = 7.3 \, \text{cm}

Steps:

  1. Square the radius: r2=7.32=53.29r^2 = 7.3^2 = 53.29

  2. Multiply by π\pi (using π3.14159\pi \approx 3.14159): Area=π×53.29167.55cm2\text{Area} = \pi \times 53.29 \approx 167.55 \, \text{cm}^2

  3. Round the result to 1 decimal place: Area167.6cm2\text{Area} \approx 167.6 \, \text{cm}^2

Final Answer:

Area=167.6cm2\text{Area} = 167.6 \, \text{cm}^2

Would you like me to explain any step further or perform additional calculations?


Here are 5 related questions for further exploration:

  1. What is the circumference of this circle?
  2. How does the area change if the radius is doubled?
  3. How would you calculate the area if given the diameter instead of the radius?
  4. Why do we use π\pi in the formula for the area of a circle?
  5. How does rounding affect the accuracy of the final result?

Tip: Always double-check the units when working with areas to ensure consistency in your calculations!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Circle Properties
Area Calculation

Formulas

Area of a circle = πr²

Theorems

-

Suitable Grade Level

Grades 7-9