Answer:
c=kr
c=12.56in when r=2in
Step-by-step explanation:
Circumference (c) of a circle varies directly with radius(r)
Equation that relates the circumference and radius is
c=kr
Radius=3in
Circumference=18.84in
18.84=k*3
k=18.84/3
k=6.28
Find circumference when radius=2in
c=kr
c=6.28*2
=12.56in
c=12.56in
Answer:
C=6.28r, the circumference is 12.56 inches
Step-by-step explanation:
We are given that the pizza's circumference, C, varies directly with the radius, r. This means
C=k⋅r
for some constant, k.
Since a circular pizza with a radius of 3in has a circumference of 18.84in, we substitute these values into the formula for direct variation to find
18.84=k⋅3
Dividing by 3 gives k=6.28, so an equation that relates C and r is
C=6.28⋅r
Substituting r=2 yields
6.28⋅2=12.56
So a personal pizza with a radius of 2in has a circumference of 12.56in.
