Answer:
(x-1)²+(y-3)²=65
Step-by-step explanation:
the common view of the equation of a circle is:
a) (x-a)²+(y-b)²=r², where (a;b) - the centre of the required circle, r - the radius of the required circle;
b) using the coordinates of the endpoint of the given diameter it is possible to calculate the coordinates of the centre of the required circle and its radius²:
the coordinate x of the required circle is: (9-7)/2=1;
the coordinate y of the required circle is: (2+4)/2=3.
the radius² of the required circle is:
r²=0.25*[(9- -7)²+(2-4)²]=0.25*260=65.
c) after the substitution the values of 'a'; 'b' and 'r²' into the common equation of the circle:
(x-1)²+(y-3)²=65.
PS. additional: the given points (9;2) and (-7;4) belong to the final equation, if to substitute their coordinates into it.
The suggested way of solution is not the only one.
Answer:
<h2>The arc length is 4 cm to the nearest cm</h2>
Step-by-step explanation:
The diagram is not given in this question, but we can proceed anyways.
from the problem statement we can observe that the radius of the arc is same as the width of the door
a. the radius is 4.2 cm
b. the length of the arc given that the central angle is 25° can be gotten using the formula stated bellow
arc length = 2 π r *(∅/360)
substituting we have
arc length = 2*3.142*(225/360)
arc length= 6.284*0.625
arc length=3.92 cm
<h2>Approximately the arc length is 4 cm</h2>
Is that even possible
0.0001 maybe?
---|--/--/--|--/--/--|--/--/--|--/--/--|--/--/--|--/--/--|--/--/--|--/--/--|--/--/--|--/--/--|--------------
-5 -4-11/3-3 -2 -1 0 1 2 8/3 3 4 5
8/3≈ 2,6
-11/3 ≈-3,6