Welcome :: Homework Help and Answers :: Mathskey.com
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

12,137 questions

16,800 answers

1,421 comments

10,650 users

Help with a tig/algebra 2 trig homework question?

+1 vote
a line segment through the center of the circle intersects the circle at the points (2,2) and (4,4) and the center of the circle is (3,3)...
what is the radius of the circle?
what is the equation of the circle in standard form?
asked Jan 18, 2013 in PRECALCULUS by homeworkhelp Scholar

1 Answer

+2 votes
 
Best answer

Radius r = ?

Here radius r = Distance between the two points (2, 2) and (3, 3) or (3, 3) and (4, 4 )

Consider the points (2, 2) and (3, 3) and find the radius.

Formula : A(x₁, y₁) ,B(x₂, y₂) points distance: [(x₂-x₁)2 + (y₂-y₁)2]

Radius r = [(3-2)2 + (3-2)2]

r = [(1)2+(1)2]     

r = [1+1]   

r = 2

 

Standard form equation is (x – h)2 + (y – k)2 = r2 where (h, k) is the Centre and r, the radius.

Here Centre (h, k) = (3, 3) and radius r = 2

(x – 3)2 + (y – 3)2=(2)2 substitute Centre and radius in the formula

Note: (A)2 = A

(x – 3)2 + (y – 3)2 = (2)2

Circle equation is

(x – 3)2 + (y – 3)2 = 2.

answered Jan 18, 2013 by richardson Scholar
selected Jan 23, 2013 by homeworkhelp

Related questions

...