In the diagram, the radius of the outer circle is 5 centimeters and the area of the shaded region is 16π square centimeters. Fin
d the radius of the inner circle.
A.) r = 1
B.) r = 2
C.) r = 3
D.) r = 4
A.) r = 1
B.) r = 2
C.) r = 3
D.) r = 4
1 answer:
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Answer:
Center: (4,8)
Radius: 2.5
Equation:
Step-by-step explanation:
It was given that; the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).
Note that the longest chord is the diameter;
The midpoint of the ends of the diameter gives us the center;
Use the midpoint formula;
The center is at;
To find the radius, use the distance formula to find the distance from the center to one of the endpoints.
The distance formula is;
The equation of the circle in standard form is given by;
We substitute the center and the radius into the formula to get;