Find the radius and the diameter to the nearest hundredth when C = 5π yd. Use 3.14 for π.
C = pi D = 5 pi
so
D = 5 yd
R = 5/2 = 2.5 yd
To find the radius and diameter when the circumference is given, we'll use the formulas related to the circumference of a circle:
Circumference (C) = 2πr,
Diameter (d) = 2r.
Given that C = 5π yd, we can substitute the value into the formula and solve for the radius:
5π = 2πr
Divide both sides by 2π to isolate the radius:
r = (5π)/(2π)
r = 2.5 yd.
To find the diameter, we will substitute the radius value into the formula for diameter:
d = 2r
d = 2(2.5)
d = 5 yd.
Therefore, the radius, to the nearest hundredth, is 2.50 yd and the diameter is 5.00 yd.