Write the equation of each circle in standard form. Center at ( 2, 4); passing t

Question

Write the equation of each circle in standard form. Center at ( 2, 4); passing through ( 6, 8) This is the formula; ( x - h ) 2 + ( y - k ) 2 = r2 The answer is ( x - 2 ) 2 + ( y - 4) 2 = 32 My question is how to get the 32? I know that 2 is for H and 4is for K but how do i figure out the radius when it is notgiven? Write the equation of each circle in standard form. Center at ( 2, 4); passing through ( 6, 8) This is the formula; ( x - h ) 2 + ( y - k ) 2 = r2 The answer is ( x - 2 ) 2 + ( y - 4) 2 = 32 My question is how to get the 32? I know that 2 is for H and 4is for K but how do i figure out the radius when it is notgiven? The answer is ( x - 2 ) 2 + ( y - 4) 2 = 32 My question is how to get the 32? I know that 2 is for H and 4is for K but how do i figure out the radius when it is notgiven?

Explanation / Answer

Use the distance formula to find the radius. (x2 -x1)2 +(y2 - y1)2 ( 6 - 2)2 + (8 -4)2 (4)2 + (4)2 16 + 16 32 = r r2 is what you need for your equation. (32)2 = 32

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