Answer:
- (x + 10)² + (y + 4)² = 232
Step-by-step explanation:
<h3>Given </h3>
- Center = (-10, -4)
- Point on circle = (4, 2)
<h3>To find </h3>
<h3>Solution</h3>
<u>Remember the standard equation of circle:</u>
- (x - h)² + (y - k)² = r², where (h, k) is the center and r is radius
<u>We have</u>
Use distance formula (Pythagorean theorem) to work out the length of the radius. We know that radius is the distance from the center to any point on the circle.
<u>Here we are finding the distance between points (-10, -4) and (4, 2)</u>
- r² = (-10 - 4)² + (-4 - 2)²
- r² = 14² + 6²
- r² = 232
<u>So the equation is:</u>
- (x + 10)² + (y + 4)² = 232
Answer:
Step-by-step explanation:
Just download Photomath
Answer:
Step-by-step explanation:
Using the formula for finding the circumference of a circle.
C = 2πr
r is the radius
radius = diameter/2
radius = 10/2
radius = 5in
C ,= 2(3.14)(5)
C = 20(3.14)
C = 31.4×2
C = 62.8in (for 1 rotation)
For 16 rotations;
C = 16×62.8
C = 1004.8in
The distance covered is 1004.8in
