A circular drum has a radius of 12.25 inches. Karen wants to glue a ribbon around the edge of the drum. If Karen has exactly enough ribbon, which measurement is closest to the length of the piece of ribbon in inches?
Responses
A 38.465 inches38.465 inches
B 24.50 inches24.50 inches
C 76.93 inches76.93 inches
D 36.74 inches
The formula for the circumference of a circle is C = 2πr, where r is the radius.
Plugging in the given radius of 12.25 inches, we get:
C = 2π(12.25)
C = 24.5π
To find the length of the ribbon needed, we need to convert from radians to inches. Since π is approximately 3.14, we can approximate the length of the ribbon as:
L ≈ 24.5 * 3.14
L ≈ 76.93 inches
Therefore, the measurement closest to the length of the piece of ribbon is C) 76.93 inches.