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How do you work out the radius?
C=2*pi*r Radius is the circumference of the circle divided by 2pi. Therefore, if the circumference was C then the following formula works out the radius: r=C/(2*pi)
How do you find the radius of a cylinder if the height is 32 feet and the circumference of the base is 135 feet?
C = 2(pi)(r) so that r = C/(2pi) = 135/(2pi) ≈ 21.5 ft.
How do you express r in terms of c and pi?
Oh, dude, expressing "r" in terms of "c" and "pi" is like a walk in the park... if the park was full of math nerds. You just divide "c" by 2pi, and boom, there's your radius. Easy peasy, lemon squeezy.
What does circumference equals pi times d mean?
It is the formula for the circumference C of a circle where D is the diameter. C = (pi) D
Can you develop a formula for the area of a circle as a function of its circumference?
It's pretty straightforward. The circumference of a circle is given by the equation C = 2[Pi]r, which can be rewritten as r = C/2Pi. The area of a circle is given by the equation A = [Pi]r2. Substituting for r in that equation gives us A = Pi(C/2Pi)2 = [Pi]C2/4[Pi]2 = C2/4Pi So, A = C2/4Pi. You can see that the area of a circle is proportional to the square of its circumference, so if you double the circumference, you quadruple the area. If you triple the circumference, the area increases ninefold! If you like, you can remember the formula as A = kC2, where k = 1/4Pi = 0.0796
