2 answers:
To find the midpoint, add the 2 x values and divide by 2 and then do the same with the y values:
Midpoint = (-1 +4)/2 , (5 + -3)/2
Midpoint = 3/2, 2/2
Center of circle = (3/2, 1)
Radius = √((3/2 - -1)^2 + (1-5)^2)
= √89/2 = 4.7 units.
Circumference = 2 x PI x r
= 2 x 3.14 x 4.7 = 29.5 units
Area = PI x r^2
= 3.14 x 4.7^2
= 3.14 x 22.09
= 69.4 square units.
Answer:
Midpoint =1.5,1
radius 4.71699
C = 29.623
A =69.865
Step-by-step explanation:
To find the midpoint, add the endpoint coordinates together and divide by 2
M = (x1+x2)/2, (y1+y2)/2
= (-1+4)/2, (5+-3)/2
= 3/2 , 2/2
=1.5,1
Once we know the midpoint, we can find the radius from one endpoint to the midpoint
d = sqrt( (x2-x1)^2+ (y2-y1)^2)
sqrt( (1.5--1)^2+ (1-5)^2)
sqrt(( 1.5+1)^2 + (4)^2)
sqrt( 2.5^2 +16)
sqrt(6.25 +16)
sqrt(22.25)
4.71699
The circumference is given by
C = 2*pi*r
= 2* (3.14) * 4.717
= 29.623
The area of a circle is given by
A = pi r^2
= 3.14 * 4.717^2
=69.865
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