The circumference of a circle is 64pi cm. find the diameter, the radius, and the length of an arc of 190°. a.32 cm; 64 cm; 16.9pi cm b. 64 cm; 32 cm; 33.8pi cm c.128 cm; 32 cm; 185pi cm d. 64 cm; 128 cm; 16.9pi cm

Part 1) The diameter is

Part 2) The radius is

Part 3)  The length of an arc is equal to

Step-by-step explanation:

Part 1) Find the diameter

we know that the circumference of a circle is equal to

where

D is the diameter

we have

assume

substitute and solve for D

Part 2) Find the radius

we know that

The radius is half the diameter

so

substitute

Part 3) Find the length of an arc of 190 degrees

we know that

The circumference of the circle subtends a central angle of 360 degrees

so

using proportion