Evans Henry
02/02/2023 · Senior High School

Write an equation of the circle with center \( (-3,-2) \) and radius 5.

UpStudy ThothAI Solution

Tutor-Verified Answer

Step-by-step Solution

The equation of a circle with center \((h, k)\) and radius \(r\) is given by the formula: \[ (x - h)^2 + (y - k)^2 = r^2 \] In this case, the center of the circle is \((-3, -2)\) and the radius is \(5\). Plugging these values into the formula, we have: - \(h = -3\) - \(k = -2\) - \(r = 5\) Now substituting these values into the equation: \[ (x - (-3))^2 + (y - (-2))^2 = 5^2 \] This simplifies to: \[ (x + 3)^2 + (y + 2)^2 = 25 \] Thus, the equation of the circle is: \[ (x + 3)^2 + (y + 2)^2 = 25 \]

Quick Answer

The equation of the circle is \((x + 3)^2 + (y + 2)^2 = 25\).
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text

Enter your question here…

By image
Re-Upload
Uploaded Files
xxxx.png0%
Submit
📸 STUDY CAN BE A REAL STRUGGLE
Why Not UpStudy It?
Select your plan below
Premium

You can enjoy

  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to answer and
    solution
Basic
  • Limited Solutions