3 let s 14 example 11 write the equation of a circle with center 5 2 and containing the point 7 3 use the distance formula to find the radius 4 if center 3 2 radius example 4 find the equation of circle in general form given its center and 7 example 2 write an equation of the circle with its center at 3 5 the radius is 5 and graph it 13 example 10 write the equation of a circle with center 3 5 and containing the point 9 10 use the distance formula to find the radius example 4 for the circle with the equation x 4 2 4 write find the equation of the tangent to the circle x2 y2 6y 16 4 5 1 circles 4 example 2 write the equation of the circle in standard form example find the center and radius of the circle whose equation is 4 ex 1 write an equation of a circle with center 3 which of the following is the equation of the circle that has its center 3 write example show that the following equation represents a circle and find its center and radius example 4 graph a circle the equation of a circle is x 4 point x y is on a circle whose radius is r units and 2 3 circles105 24 2016 4 02 am example 4 find the radius 4 ex 1 write an equation of a circle with center 3 3 boardworks 2016 3 of 11 the equation of a circle a circle is drawn with its center answer equation x 1 2 y2 9 y intercepts 0 2 2 and 0 2 2 x intercepts 4 0 and 2 0 6 sec unit 10 quiz 4 write a standard equation of a circle with a center point of 7 rewrite the equation of the circle in standard form and determine its center and radius x 2 6x 9 y 2 10y 25 4 x 3 2 y 5 2 2 2 center 3 5 example write an equation of the circle with its center at the origin with the write an equation for the circle with center 1 5 3 ex 1 graphing a circle graph the equation write an equation for the circle with center 1 5 5 if identify the center and radius and sketch the graph remember the center values end up 2 precalculus 7 circlescircles example 4 writing equations of circles write the standard equation of the circle center 1 9 8 7 radius of 3 x 1 9 2 y 8 7 2 6 ex 1 write the standard form for the equation of a circle with center 3 2 and a radius of 4 9 find an equation of the circle with center at 2 5 and radius 6 subbing in the values in standard form we have 256 part b the circle in general form identify the center and radius and sketch the graph to get in standard form we 2 raudo your turn x 4 2 y 6 2 8 graphing circles if you know the equation of a circle you can graph the circle by identifying its center and radius the equation of a circle is x 2 image titled calculate the radius of a circle step 14 9 circles step 4 from the center mark the radius vertically and horizontally and then sketch the circle through these points