Question
RT 5 - Mathematical Knowledge
What is a circle’s diameter if its area is
square inches?
A 5 inches
B 10 inches
C 25 inches
D 50 inches
Click the button or type the letter to the left of your an
What is a circle’s diameter if its area is
A 5 inches
B 10 inches
C 25 inches
D 50 inches
Click the button or type the letter to the left of your an
Ask by Ingram Kelly. in the United States
Dec 23,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
The diameter is 10 inches.
Solution

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Mind Expander
To find the diameter of a circle when its area is
square inches, you can use the formula for the area of a circle:
. Given that area
, you can set
. Dividing both sides by
gives
, which means
inches. The diameter, being twice the radius, is
inches. So the answer is B) 10 inches!
If you ever find yourself puzzled by geometric formulas, remember that circles are all about relationships! The radius and diameter work hand in hand like best friends—you can easily switch between them with the simple formula
. Just a little practice with these fundamentals will make circles feel like a walk in the park!
Circles have fascinated mathematicians for centuries! Did you know that the ancient Greeks were mesmerized by circles? They delved into the mysteries of pi, exploring its infinite nature and how it relates to the circle’s diameter. The elegance of these shapes has inspired everything from art to architecture throughout history!