The inch is an Anglo-Saxon unit of length measurement. Knowing that 3 inches corresponds to 7.62 cm: a. what is the circumference, in cm, of a 26 inch mountain bike wheel b. The diagonal of a tablet screen measures 17.8 cm. What is this length in inches?

1 answer

a. To find the circumference of a 26 inch mountain bike wheel, we first need to convert inches to centimeters using the conversion factor given:

26 inches * 7.62 cm/inch = 197.88 cm

Next, we can use the formula for the circumference of a circle:

Circumference = 2 * π * radius

Since the radius of the bike wheel is half the diameter, we have:

Radius = 197.88 cm / 2 = 98.94 cm

Circumference = 2 * π * 98.94 cm ≈ 2 * 3.14 * 98.94 cm ≈ 622.36 cm

Therefore, the circumference of a 26 inch mountain bike wheel is approximately 622.36 cm.

b. To convert the diagonal of a tablet screen from centimeters to inches, we will use the conversion factor given:

17.8 cm ÷ 7.62 cm/inch ≈ 2.34 inches

Therefore, the length of the diagonal of a tablet screen measuring 17.8 cm is approximately 2.34 inches.