Consider the recursively defined set S: Basis Step: The unit circle is in S. Recursive Step: if x is in S, then x with a line th
rough any diameter is in S. (a) (4 points) Prove that: is in S. (b) ( 6 points) For an element x ∈ S, define V (x) be the number of vertices (i.e. the number of intersections of lines and arcs and lines with lines), let E(x) to be the number of edges (line segments or arcs between vertices), and let F(x) be the number of faces. Prove that for any x ∈ S that F + V = E + 1. (Please use structural induction.)
1 answer:
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Answer:
Circumference= 44 in
Area= 154 in²
Step-by-step explanation:
Radius
= diameter ÷2
= 14 ÷2
= 7 in
Circumference of circle
= 44 in
Area of circle
= 154 in²
To remove √3 from denominator, we multiply both numerator as well as denominator with √3
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