Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.
Sagot :
Answer:
- (x - 6)² + (y - 8)² = 20
Step-by-step explanation:
Find the center, the midpoint of the ends of the diameter.
Use midpoint formula for each coordinate:
- x = (2 + 10) / 2 = 12/2 = 6
- y = (10 + 6) / 2 = 16/2 = 8
Find the square of the radius using distance formula between points:
- (2, 10) and (6, 8)
- [tex]r^2=(x_2-x_1)^2+(y_2-y_1)^2[/tex]
- [tex]r^2=(6-2)^2+(8-10)^2[/tex]
- [tex]r^2=4^2+(-2)^2=16+4 = 20[/tex]
Use the equation of circle:
- (x - h)² + (y - k)² = r²
We know that (h, k) is the center (6, 8), substitute into above equation:
- (x - 6)² + (y - 8)² = 20
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.