Math Problem Statement

The radius, r, of the circle below is 11 cm. Calculate the area of the circle. Give your answer to 1 decimal place.

Solution

The problem in the uploaded image requires calculating the area of a circle, given its radius r=11cmr = 11 \, \text{cm}. The formula for the area of a circle is:

Area=πr2\text{Area} = \pi r^2

Step-by-step Calculation:

  1. Substitute r=11cmr = 11 \, \text{cm} into the formula: Area=π(11)2\text{Area} = \pi (11)^2

  2. Square the radius: 112=12111^2 = 121

  3. Multiply by π\pi (using π3.14159\pi \approx 3.14159): Area3.14159×121=380.1327cm2\text{Area} \approx 3.14159 \times 121 = 380.1327 \, \text{cm}^2

  4. Round to 1 decimal place: Area380.1cm2\text{Area} \approx 380.1 \, \text{cm}^2

Final Answer:

The area of the circle is 380.1 cm² (to 1 decimal place).

Would you like further clarification or a breakdown of any step?


Here are 5 related questions to explore:

  1. How would the area change if the radius doubled?
  2. What is the circumference of the circle with radius 11cm11 \, \text{cm}?
  3. Can you calculate the diameter of the circle and explain its relationship to the radius?
  4. How is the area formula for a circle derived from geometry?
  5. What happens to the area if you halve the radius?

Tip: Always write down your formula first before solving, as this ensures a clear and structured solution.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Area of Circle

Formulas

Area = πr²

Theorems

Circle Area Formula

Suitable Grade Level

Grades 6-8