Question

Write the standard equation for the circle. center (–6, –8), that passes through (0, 0)

Answer 1

Answer:

(x + 6)² + (y + 8)² = 100

Step-by-step explanation:

Equation of circle:

(x – h)² + (y – k)² = r²

Step 1: Find the radius

Draw a circle and mark the centre at (-6,-8).

Mark a point at (0,0)

Take a compass and draw a circle.

Draw a vertical line from centre of the circle to the end and find the radius.

The radius is from -8 till 2 which means 10.

Step 2: Find the equation of the circle

(x – h)² + (y – k)² = r²

(x -(-6))² + (y – (-8))² = 10²

(x + 6)² + (y + 8)² = 100

Therefore, the last option is correct.

!!