Circle Area Function: Selecting the Correct Formula for Radius a

A circle has a radius a.

Choose the function that expresses the area of the circle.

aaa

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Express the area of the circle
00:04 We will use the formula for calculating the area of a circle
00:09 We will substitute the appropriate values according to the given data, and solve to find the area
00:14 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

A circle has a radius a.

Choose the function that expresses the area of the circle.

aaa

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Identify the formula needed to compute the area of a circle.
  • Substitute the given radius into the formula.
  • Simplify the expression to match with the provided choices.

Now, let's work through the solution:

Step 1: The problem gives us the radius of the circle as a a .

Step 2: We'll apply the formula for the area of a circle:
A=πr2 A = \pi r^2

Step 3: Substitute r=a r = a :
A=πa2 A = \pi a^2

Therefore, the function expressing the area of the circle is y=πa2\boxed{y = \pi a^2}.

3

Final Answer

y=πa2 y=\pi a^2

Practice Quiz

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What is the value of y for the function?

\( y=x^2 \)

of the point \( x=2 \)?

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