Identify the center and radius of the following circles, as

melodykap

melodykap

Answered question

2021-08-15

Identify the center and radius of the following circles, as well as graph each circle:
(x−3)2+(y+8)2=144
x2+(y+2)2=56.25

Answer & Explanation

SoosteethicU

SoosteethicU

Skilled2021-08-16Added 102 answers

Step 1
Given: equation of circles
1) (x−3)2+(9+8)2=144
2) x2+(9+2)2=56.15
Equation of circle centred at (h,k) radius
is (x−n)2+(y−k)2=r2
Step 2
Solution 1) (x−3)2+(y+8)2=144
here 122=144
(x−3)2+(y+8)2=122
(x−3)2+(y−(−8))2=122
comparing with the equation (x−n)2+(y−k)2=r2
(h,k)=(3,−8)r=12
centre =(3,−8)
Radius =12
2) x2+(y+2)2=56.25
(x−0)2+(y−(−2))2=(7.5)2
(7.5)2=56.25
comparing with the equation, (x−n)2+(y−k)2=r2
(n,k)=(0,−2)r=7.5
centre =(0,−2)
Radius =7.5

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