A steel plate has the form of one-fourth of a circle with a radius of 42 centimeters. Two two-centimeter holes are to be drilled in the plate positioned as shown in the figure in the website below. Find the coordinates of the center of each hole.
www.webassign.net/waplots/3/0/4fbca315da103cef185f447b05452d.gif
(x1, y1)=
(x2, y2)=
To find the coordinates of the center of each hole, we need to understand the geometry of the given figure.
First, let's label the center of the circle as O, and the two holes as A and B. The radius of the circle is given as 42 centimeters.
Looking at the figure in the provided link, we can see that the distance of each hole from the x-axis is given as 20 centimeters.
Since the circle is one-fourth of a complete circle, it means the angle between the x-axis and the line connecting O and A (or B) is 90 degrees.
Now, let's calculate the y-coordinates of A and B:
To find the y-coordinate of A, we need to subtract the radius (42 cm) from the y-coordinate of O. Looking at the figure, we can see that the y-coordinate of O is 42 cm. Thus, the y-coordinate of A is 42 cm - 42 cm = 0 cm.
To find the y-coordinate of B, we need to add the radius (42 cm) to the y-coordinate of O. Again, looking at the figure, we can see that the y-coordinate of O is 42 cm. Therefore, the y-coordinate of B is 42 cm + 42 cm = 84 cm.
Hence, the coordinates of the center of each hole are:
A: (x1, y1) = (20 cm, 0 cm)
B: (x2, y2) = (20 cm, 84 cm)