Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
First, you use the two points to give you a length, and this will serve as our radius. So,
Length = ((4-0)^2+(-3-0)^2)^1/2
Length = (4^2-3^2)^1/2
Length = (16+9)^1/2
Length = 25^1/2
Length = 5 units.
Then, we can use the co-ordinates to figure out the other parts of the circle's equation, as the equation of a circle follows the pattern:
"X^2+Y^2+2GX+2FY+C=0",
the co-ordinates for the centre is (-G,-F) and another way to find the length of the radius is "(G+F-C)^1/2". So, we find out that G and F are 0, and so far we have
"X^2+Y^2+C=0" We can find C by using the second radius formula and our length. So:
(0+0-C)^1/2=5, and hence the square root of -C is equal to five. By squaring both sides we find that C=-25. The circle's final equation is:
"X^2+Y^2-25=0"
Length = ((4-0)^2+(-3-0)^2)^1/2
Length = (4^2-3^2)^1/2
Length = (16+9)^1/2
Length = 25^1/2
Length = 5 units.
Then, we can use the co-ordinates to figure out the other parts of the circle's equation, as the equation of a circle follows the pattern:
"X^2+Y^2+2GX+2FY+C=0",
the co-ordinates for the centre is (-G,-F) and another way to find the length of the radius is "(G+F-C)^1/2". So, we find out that G and F are 0, and so far we have
"X^2+Y^2+C=0" We can find C by using the second radius formula and our length. So:
(0+0-C)^1/2=5, and hence the square root of -C is equal to five. By squaring both sides we find that C=-25. The circle's final equation is:
"X^2+Y^2-25=0"
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.
