WebTo find the equation of a circle when you know the radius and centre, use the formula \ ( { (x - a)^2} + { (y - b)^2} = {r^2}\), where \ ( (a,b)\) represents the centre of the circle,... WebThe center of the circle is ( ). The radius of the circle is Note: Round your answer to the nearest hundredth. Question: Find the center and radius of the circle whose equation …
Equation of the circle with centre on y - axis and passing ... - Toppr
WebJul 28, 2024 · Best answer The general form of the equation of a circle is: (x - h)2 + (y - k)2 = r2 Where, (h, k) is the centre of the circle. r is the radius of the circle. In this question we know that (h, k) = (2, - 5), so for determining the equation of the circle we need to determine the radius of the circle. WebNov 7, 2024 · Understanding the equation of a circle with examples. Example 1: Find the equation of a circle whose center passes through the origin. Solution: We know, the equation of a circle is given by, (x – x 1)² + (y -y 1)² = r², where x 1 and y 1 are the coordinates of the center of the circle and r is the radius. firebase phone authentication web
Find the equation of a circle whose centre is 3, 1 and which
WebFind the equation of the circle whose centre lies on the positive direction of y-axis at a distance 6 from the origin and whose radius is 4. Solution The general equation of circle, with centre (a, b) and radius r in (x−a)2+(y−b)2 =r2 …(A) Now, According to the question centre = (0, 6) and radius = 4 ∴ From (A) WebSolution We know that the equation of circle whose ccntrd in (a, b) and radius r is (x−a)2+(y−b)2 =r2 …(1) We have centre - (1, 2) ∴ (x−1)2+(y−2)2 =r2 …(2) Also, circle passes through (4, 6) ∴ (4−1)2+(6−2)2 =r2 ⇒ 9+16= r2 ⇒ r =5 Thus, equation of required circle in (x−1)2+(y−2)2 =52 x2+y2−2x−4y−20= 0 Suggest Corrections 4 Similar questions Webexample 1: Find the center and the radius of the circle (x− 3)2 + (y +2)2 = 16 example 2: Find the center and the radius of the circle x2 +y2 +2x− 3y− 43 = 0 example 3: Find the equation of a circle in standard form, with a center at C (−3,4) and passing through the point P (1,2). example 4: establishing accountability in the workplace