Questions: Find the equation of the circle shown. Write equation in standard form:

Find the equation of the circle shown. Write equation in standard form:
Transcript text: Find the equation of the circle shown. Write equation in standard form: $\square$
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the center of the circle

The center of the circle is at the point (2, -2).

Step 2: Determine the radius of the circle

The radius of the circle is the distance from the center to any point on the circle. From the graph, the radius is 2 units.

Step 3: Write the equation of the circle in standard form

The standard form of the equation of a circle with center \((h, k)\) and radius \(r\) is: \[ (x - h)^2 + (y - k)^2 = r^2 \] Substituting \(h = 2\), \(k = -2\), and \(r = 2\): \[ (x - 2)^2 + (y + 2)^2 = 2^2 \] \[ (x - 2)^2 + (y + 2)^2 = 4 \]

Final Answer

\[ (x - 2)^2 + (y + 2)^2 = 4 \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Use the point-slope formula to find an equation of the line passing through the point (4,-6) and having slope 3. Write your answer in slope-intercept form.
failedAnswered
Differentiate. g(x) = 7^x / (5x + 2)
failedAnswered
a) ∫∫D(1-y) dx dy, (D) x^2+y^2 ≤ 2y, y ≤ x^2, x ≥ 0; b) ∫∫D(xy)^(1/2) dx dy, (D) y ≥ x^3, y ≤ x^2, x ≥ 0;
failedAnswered
Which statement by the patient is a characteristic finding in narcolepsy? 'I have difficulty falling asleep.' 'My spouse tells me I walk in my sleep.' 'According to my spouse, my legs move all night.' 'I go to sleep at dark and wake up when the sun rises.'
failedAnswered
Set up an equation that can be used to solve the problem. Solve the equation and determine the desired value. When sales representatives for a pharmaceutical company drive to out-of-town meetings that require an overnight stay, they receive 160 for lodging plus 0.65 per mile driven. How many miles did Joe drive if his company reimbursed him 322.50 for an overnight trip? The equation is .