Question

Write the standard equation of the circle if the center is (-1,2), and a point on the circle is (2,6).

Plzzzzz helpppp me​

Answer 1

• (x + 1)² + (y - 2)² = 25

Explanation:

The center is given:

• (-1, 2)

Find the radius, the distance from the center to a point (2, 6)

• r² = (2 - (-1))² + (6 - 2)² = 3² + 4² = 25
• r = √25 = 5

Use circle formula:

• (x - h)² + (y - k)² = r²
• (x - (-1))² + (y - 2)² = 5²
• (x + 1)² + (y - 2)² = 25