### Break Down the Problem
1. Identify the standard form of the equation of a circle, which is given by:
$$
x^2 + y^2 = r^2
$$
where $ r $ is the radius of the circle.

### Relevant Concepts
2. The equation provided is $ x^2 + y^2 = 144 $. We can compare this with the standard form to identify $ r^2 $.

### Analysis and Detail
3. From the equation:
$$
r^2 = 144
$$
To find the radius $ r $, we take the square root of both sides:
$$
r = \sqrt{144}
$$

### Verify and Summarize
4. Calculate the square root:
$$
r = 12
$$
This confirms that the radius is 12.

### Final Answer
The radius of the circle is $ \boxed{12} $.

Question

### Break Down the Problem
1. Identify the standard form of the equation of a circle, which is given by: 
   $$
   x^2 + y^2 = r^2
   $$
   where $ r $ is the radius of the circle.

### Relevant Concepts
2. The equation provided is $ x^2 + y^2 = 144 $. We can compare this with the standard form to identify $ r^2 $.

### Analysis and Detail
3. From the equation:
   $$
   r^2 = 144
   $$
   To find the radius $ r $, we take the square root of both sides:
   $$
   r = \sqrt{144}
   $$

### Verify and Summarize
4. Calculate the square root:
   $$
   r = 12
   $$
   This confirms that the radius is 12.

### Final Answer
The radius of the circle is $ \boxed{12} $.

Knowee AI · Accepted Answer

### Break Down the Problem
1. Identify the standard form of the equation of a circle, which is given by: 
   $$
   x^2 + y^2 = r^2
   $$
   where $ r $ is the radius of the circle.

### Relevant Concepts
2. The equation provided is $ x^2 + y^2 = 144 $. We can compare this with the standard form to identify $ r^2 $.

### Analysis and Detail
3. From the equation:
   $$
   r^2 = 144
   $$
   To find the radius $ r $, we take the square root of both sides:
   $$
   r = \sqrt{144}
   $$

### Verify and Summarize
4. Calculate the square root:
   $$
   r = 12
   $$
   This confirms that the radius is 12.

### Final Answer
The radius of the circle is $ \boxed{12} $.

The equation of a circle centered at the origin is x2 + y2 = 144. What is the radius of the circle?A.14B.12C.72D.144SUBMITarrow_backPREVIOUS

Question

The equation of a circle centered at the origin is x² + y² = 144. What is the radius of the circle?

Solution

Break Down the Problem

Relevant Concepts

Analysis and Detail

Verify and Summarize

Final Answer

Similar Questions

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