Question

A student was measuring the ratio of a circle’s circumference and diameter. They found the circumference to be 6.28 cm and the diameter to be 1.8 cm. The actual ratio (circumference divided by diameter) was 3.14. What was their percent error?

Answer 1

Percent error = 11%

Step-by-step explanation:

Given data:

Circumference = 6.28 cm

Diameter = 1.8 cm

Actual ratio of circumference and diameter = 3.14

Percent error = ?

Solution:

Formula:

Percent error = ( measured value - actual value / actual value) ×100

Measured value:

Measured ratio of circumference and diameter = 6.28 cm/1.8 cm

Measured ratio of circumference and diameter = 3.49

Now we will put the values in percent error formula.

Percent error = (3.49 -3.14 / 3.14) ×100

Percent error = (0.35 / 3.14) ×100

Percent error = 0.11×100

Percent error = 11%