Figure ABCD is rotated clockwise about the origin through 90°. Identify the coordinates for the given figure after 90° rotation
about the origin.
2 answers:
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Given :
Center of sphere , C( 1 , -1 , 6 ) .
To Find :
Find equations of the spheres with center (1, −1, 6) that touch the following planes.a) xy-plane b) yz-plane c) xz-plane .
Solution :
a)
Distance of the point from xy-plane is :
d = 6 units .
So , equation of circle with center C and radius 6 units is :
b)
Distance of point from yz-plane is :
d = 1 unit .
So , equation of circle with center C and radius 1 units is :
c)
Distance of point from xz-plane is :
d = 1 unit .
So , equation of circle with center C and radius 1 units is :
Hence , this is the required solution .
Answer: 9, 1/20, 9/20
Step-by-step explanation:
1) 9 pieces
2) Size of each pieces:
3) Area of the shaded rectangle: