Math Problem Statement

Find the area of the circle with the following dimension.

Radiusequals=88

in

Question content area bottom

Part 1

The area is

enter your response here

in Superscript 2.

​(Round to the nearest tenth as​ needed.)

Solution

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

A=πr2A = \pi r^2

Where:

  • AA is the area,
  • rr is the radius of the circle,
  • π3.1416\pi \approx 3.1416.

Given the radius r=88inr = 88 \, \text{in}, we can calculate the area as follows:

A=π(88)2A = \pi (88)^2 A=3.1416×7744A = 3.1416 \times 7744 A24356.5in2A \approx 24356.5 \, \text{in}^2

So, the area of the circle is approximately 24356.5 in².

Would you like any additional details on this?

Here are a few related questions:

  1. How would the area change if the radius were doubled?
  2. What is the circumference of the circle with a radius of 88 inches?
  3. How would the area change if the radius were halved?
  4. What is the formula for the area of a sector of a circle?
  5. How can we derive the formula for the area of a circle?

Tip: Always use 3.1416 for π\pi when you need a quick approximation, or use the more precise value π3.1415927\pi \approx 3.1415927 for more accuracy.

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Math Problem Analysis

Mathematical Concepts

Geometry
Circle
Area of Circle

Formulas

A = πr²

Theorems

Formula for the area of a circle

Suitable Grade Level

Grades 6-8