Question
The diameter of a circle is 22 miles. What is the circle’s area?
Use
square miles
Use
square miles
Ask by French Barnett. in the United States
Mar 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The area of the circle is approximately 379.94 square miles.
Solution
To find the area of a circle, we can use the formula:
Given that the diameter of the circle is 22 miles, we can substitute this value into the formula to find the area.
Substitute
Now, we can calculate the area of the circle.
Calculate the value by following steps:
Calculate the value by following steps:
- step0: Calculate:
- step1: Divide the terms:
- step2: Rewrite the expression:
- step3: Multiply the numbers:
The area of the circle is approximately 379.94 square miles. Rounding this to the nearest hundredth, the area is 379.94 square miles.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Mind Expander
To find the area of a circle, you can use the formula
So, the area of the circle is approximately 380.94 square miles.
Now, isn’t it fascinating that circles have been studied by mathematicians for thousands of years? The ancient Greeks were some of the first to delve into the properties of circles, laying the groundwork for what we now know about geometry. Their study of π (pi) has captured hearts and minds through the ages, revealing the beauty and mystery of this intriguing number!
In the real world, the concept of a circle isn’t just confined to textbooks! Circles pop up everywhere—think of anything round, like pizzas, wheels, or even satellites in orbit. When you calculate areas, you’re often faced with practical dilemmas—designing parks, constructing buildings, or even determining how much paint to buy for a circular mural! Understanding the area can be crucial to making those plans just right.
