We know that
[scale factor]=1/2
[dilated area of circle]=[original area of circle]*[scale factor]²
so
[dilated area of circle]=[original area of circle]*[1/2]²
[dilated area of circle]=[original area of circle]*[1/4]
therefore
the answer is
<span>The area will be 1/4 the original</span>
Answer:
a slice is made perpendicular to the base through the vertex: triangle
slice is made perpendicular to the base and not through the vertex: trapezoid
Step-by-step explanation:
a slice is made perpendicular to the base through the vertex: triangle
slice is made perpendicular to the base and not through the vertex: trapezoid
volume of the center sphere = 4/3*PI*r^3
r = 3 ( given in the picture)
so 4/3 * 3.14 *3^3 = 113.04 cubic feet
volume of 1 cone: pi *r^2 *h/3
r = 3 and h=3 ( given in the picture)
so 3.14 * 3^2 * 3/3 = 28.26 cubic feet
there are 4 cones so 28.26* 4 = 113.04 cubic feet
113.04 + 113.04 = 226.08 cubic feet
rounded to nearest cubic foot = 226 cubic feet
Answer:
The radius of the circle is 12.006 m.
Step-by-step explanation:
Let us assume the radius of the circle = r
Circumference = 75.4 m
Now, CIRCUMFERENCE OF A CIRCLE = 2 π r
⇒ 75 .4 m = 2 π r
Now, putting π = 3.14, we get:
75 .4 m = 2 (3.14) r
⇒ 75.4 = 6. 28 r
or, r = 75.4/6.28 = 12.006
or, r = 12.006 m
Hence, the radius of the circle with circumference 75.4 m is 12.006 m.
